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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields S. Arima: Certain generators of non-hyperelliptic fields of algebraic functions of genus ^3, Proc. Japan Acad., 36, 6-9 (1960). Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Auer, Roland, Ray class fields of global function fields with many rational places, Acta Arith., 95, 97-122, (2000) Arithmetic theory of algebraic function fields, Class field theory, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Finite ground fields in algebraic geometry, Algebraic number theory computations, Class numbers, class groups, discriminants
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Arithmetic theory of algebraic function fields, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields André Weil, Sur les fonctions algébriques à corps de constantes fini, C. R. Acad. Sci. Paris 210 (1940), 592 -- 594 (French). Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Witt, E.: Riemann--Rochscher Satz und {\(\zeta\)}-Funktion im Hyperkomplexen. Math. Ann. 110, 12--28 (1934) Riemann-Roch theorems, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arnaldo Garcia and Henning Stichtenoth, Elementary abelian \(p\)-extensions of algebraic function fields, Manuscr. Math. 72 (1991), 67--79. Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Geometric methods (including applications of algebraic geometry) applied to coding theory, Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Automorphisms of curves, Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Güneri, C.; Özdemir, M.; Stichtenoth, H., The automorphism group of the generalized giulietti-korchmáros function field, \textit{Adv. Geom.}, 13, 369-380, (2013) Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Research exposition (monographs, survey articles) pertaining to number theory, History of number theory, History of algebraic geometry, Arithmetic theory of algebraic function fields, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, History of mathematics in the 20th century, Sociology (and profession) of mathematics, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields S. O. Gorchinskii, ``Poincare\' biextension and ide\?les on an algebraic curve'', Sb. Math., 197:1 (2006), 23 -- 36 Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Extensions, wreath products, and other compositions of groups, Jacobians, Prym varieties, Arithmetic ground fields for curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields T. Shioda, Constructing curves with high rank via symmetry, Amer. J. Math., to appear. Algebraic functions and function fields in algebraic geometry, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Galois theory
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pablos Romo, F, Central extensions, symbols and reciprocity laws on \(\operatorname{GL}(n,\tilde{\mathcal{F}})\), Pac. J. Math., 234, 137-159, (2008) Symbols and arithmetic (\(K\)-theoretic aspects), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Voloch, José Felipe, Diagonal equations over function fields, Bol. Soc. Brasil. Mat., 0100-3569, 16, 2, 29-39, (1985) Higher degree equations; Fermat's equation, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Angles B., Maire C.: A note on tamely ramified towers of global function fields. Finite Field Appl. \textbf{8}, 207-215 (2002). Curves over finite and local fields, Arithmetic theory of algebraic function fields, Class field theory, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Rational points, Arithmetic ground fields for curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Proceedings, conferences, collections, etc. pertaining to number theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Abelian varieties of dimension \(> 1\), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Transcendence theory of Drinfel'd and \(t\)-modules, Iwasawa theory, \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Proceedings of conferences of miscellaneous specific interest
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Platonov, V. P.; Zhgun, V. S.; Fedorov, G. V., Continued rational fractions in hyperelliptic fields and the Mumford representation, Dokl. Ross. Akad. Nauk, 471, 6, 640-644, (2016) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Special divisors on curves (gonality, Brill-Noether theory), Continued fractions and generalizations
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kurbatov V. A. Über die Monodromiegruppe einer algebraischen Funktion. Mat. Sbornik, n. Ser.25 (65), (1949), 51-94 (russisch). Polynomials in number theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Transcendence (general theory), Formal groups, \(p\)-divisible groups, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Driencourt, Y.; Stichtenoth, H.: A criterion for self-duality of geometric codes. Comm. algebra 17, 885-898 (1989) Linear codes (general theory), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Brigand, D.: Quadratic algebraic function fields with ideal class number two. Arithmetic geometry and coding theory, luminy, 1993, 105-126 (1996) Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields , Galois subfields of abelian functon field of two variables, Proc. Japan Acad., 70 (1994), 3-5. Analytic theory of abelian varieties; abelian integrals and differentials, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Arithmetic theory of algebraic function fields, Other abelian and metabelian extensions
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pierre D`ebes, On a problem of Dvornicich and Zannier, Acta Arith. 73 (1995), no. 4, 379--387. MR1366044 Hilbertian fields; Hilbert's irreducibility theorem, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Polynomials in general fields (irreducibility, etc.)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Laumon, G.; Rapoport, M.; Stuhler, U., \(\mathcal{D}\)-elliptic sheaves and the Langlands correspondence, Invent. Math., 113, 217-338, (1993) Drinfel'd modules; higher-dimensional motives, etc., Algebraic functions and function fields in algebraic geometry, Langlands-Weil conjectures, nonabelian class field theory, Finite ground fields in algebraic geometry, Spectral theory; trace formulas (e.g., that of Selberg), Arithmetic theory of algebraic function fields, Formal groups, \(p\)-divisible groups
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Research exposition (monographs, survey articles) pertaining to algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Arithmetic theory of algebraic function fields, Vector bundles on curves and their moduli, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry, Algebraic moduli problems, moduli of vector bundles
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Stöhr, K. O.; Viana, P.: A study of Hasse--Witt matrices by local methods. Math. Z. 200, 397-407 (1989) Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields, Divisors, linear systems, invertible sheaves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Mazur, B.; Wiles, A., \textit{analogies between function fields and number fields}, Amer. J. Math., 105, 507-521, (1983) Zeta functions and \(L\)-functions, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Jacobians, Prym varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Shreeram Abhyankar, Ramification theoretic methods in algebraic geometry, Annals of Mathematics Studies, no. 43, Princeton University Press, Princeton, N.J., 1959. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Galois theory
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields 2.R. Dedekind, H. Weber, \(Theory of algebraic functions of one variable.\) Translated from the 1882 German original and with an introduction, bibliography and index by John Stillwell. History of Mathematics, 39. American Mathematical Society (Providence, RI; London Mathematical Society, London, 2012), pp. viii+152 History of algebraic geometry, Biographies, obituaries, personalia, bibliographies, Algebraic functions and function fields in algebraic geometry, History of mathematics in the 19th century, Arithmetic theory of algebraic function fields, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Cyclotomic function fields (class groups, Bernoulli objects, etc.), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Galois theory
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pappalardi, F.; Shparlinski, I.: On Artin's conjecture over function fields. Finite fields appl. 1, 399-404 (1995) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields L. Fastenberg, Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces , Proc. Amer. Math. Soc. 129 (2001), 1877-1883. JSTOR: Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Class groups
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Hasse, H.: Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung. J. Reine Angew. Math. \textbf{175}, 193-208 (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry, Approximation in non-Archimedean valuations, Discontinuous groups and automorphic forms, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields H. Stichtenoth and C.P. Xing. The genus of maximal function fields over finite fields. Manuscripta Math., 86(2) (1995), 217--224. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Relevant commutative algebra, Surfaces and higher-dimensional varieties, Transcendental field extensions, Algebraic functions and function fields in algebraic geometry, Group actions on varieties or schemes (quotients), Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields D. Goss, On the holomorphy on certain nonabelian \(L\)-series , Math. Ann. 272 (1985), no. 1, 1-9. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic number theory computations, Arithmetic theory of algebraic function fields, Galois theory, Class field theory, Number-theoretic algorithms; complexity, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kunz, E.; Waldi, R.: Integral differentials of elliptic function fields. Abh. math. Sem. univ. Hamburg 74, 243-252 (2004) Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry, Valuation rings
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Koprowski, Przemysław, Local-global principle for Witt equivalence of function fields over global fields, Colloq. Math., 91, 2, 293-302, (2002) Algebraic theory of quadratic forms; Witt groups and rings, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Polynomials over finite fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Distribution of integers with specified multiplicative constraints, Primes represented by polynomials; other multiplicative structures of polynomial values, Applications of sieve methods, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields [BR]S. Ballet and R. Rolland, Lower bounds on the class number of algebraic function fields defined over any finite field, J. Th\'{}eor. Nombres Bordeaux 24 (2012), 505-- 540. Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Stichtenoth, H., \textit{Algebraic Function Fields and Codes}, 254, (2009), Springer, Berlin Algebraic functions and function fields in algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory, Geometric methods (including applications of algebraic geometry) applied to coding theory, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects)
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields F. Heß, A note on the Tate pairing of curves over finite fields. Archiv der Mathematik 82 (2004), no. 1, 28-32. Zbl1051.11030 MR2034467 Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Computational aspects of algebraic curves, Cryptography
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Schmidt, W.M.: Construction and estimation of bases in function fields. J. Number Theory 39, 181--224 (1991) Arithmetic theory of algebraic function fields, Algebraic number theory: local fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Wolfgang Radtke, Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall, J. Reine Angew. Math. 363 (1985), 191 -- 200 (German). Arithmetic ground fields for curves, Arithmetic theory of algebraic function fields, Structure of modular groups and generalizations; arithmetic groups, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Group actions on varieties or schemes (quotients), Fuchsian groups and their generalizations (group-theoretic aspects)
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Lewittes, J, Genus and gaps in function fields, J. Pure Appl. Algebra, 58, 29-44, (1989) Arithmetic theory of algebraic function fields, Transcendental field extensions, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Deuring, M., Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Univ. Hamburg, 14, 1, 197-272, (1941) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Green, B.; Matignon, M.; Pop, F.: On valued function fields II: Regular functions and elements with the uniqueness property. J. reine angew. Math. 412, 128-149 (1990) Valued fields, Algebraic functions and function fields in algebraic geometry, Model theory of fields, Arithmetic theory of algebraic function fields, Field extensions
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Drinfel'd modules; higher-dimensional motives, etc., Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, Computational aspects of algebraic curves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields F. Pop, {\mathbb{Z}/} abelian-by-central Galois theory of prime divisors, The arithmetic of fundamental groups. Pia 2010, Contrib. Math. Comput. Sci. 2, Springer, Berlin (2011), 225-244. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Polynomials over finite fields, Equations in general fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Moh, TT; Heinzer, W, On the Lüroth semigroup and Weierstrass canonical divisor, J. Algebra, 77, 62-73, (1982) Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Class field theory, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rosson, Holly J.: Theta series of quaternion algebras over function fields, J. number theory 94, No. 1, 49-79 (2002) Theta series; Weil representation; theta correspondences, Other groups and their modular and automorphic forms (several variables), Hecke-Petersson operators, differential operators (several variables), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Jack Ohm, Function fields of conics, a theorem of Amitsur-MacRae, and a problem of Zariski, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 333 -- 363. Transcendental field extensions, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Multiple Dirichlet series and zeta functions and multizeta values, Other Dirichlet series and zeta functions, Arithmetic theory of algebraic function fields, Arithmetic theory of polynomial rings over finite fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Villa Salvador, G.D.: Topics in the Theory of Algebraic Function Fields. Mathematics: Theory & Applications. Birkhäuser, Boston (2006) Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Galois theory, Algebraic functions and function fields in algebraic geometry, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Drinfel'd modules; higher-dimensional motives, etc.
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Elliptic curves, Rational points, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Iwasawa theory, Cyclotomic extensions, Arithmetic theory of algebraic function fields, Asymptotic results on counting functions for algebraic and topological structures, Class field theory, Global ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Density theorems
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Beelen, P.: A generalization of Baker's theorem. Finite Fields Appl. 15(5), 558--568 (2009) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Polynomials over finite fields, Arithmetic theory of polynomial rings over finite fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Units and factorization, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rück, H. G.: Class groups and thel-series of function fields. J. number theory 22, 177-189 (1986) Coverings of curves, fundamental group, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Valued fields, Class field theory; \(p\)-adic formal groups
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Valued fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Noguchi Y (2004) Optimal properties of conditional adaptive strategies. Mimeo., Kanto Gakuin University Algebraic functions and function fields in algebraic geometry, Picard-type theorems and generalizations for several complex variables, Arithmetic ground fields for abelian varieties, Arithmetic theory of algebraic function fields, Divisors, linear systems, invertible sheaves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kodama, T.; Washio, T., A family of hyperelliptic function fields with Hasse-Witt invariant zero, J. Number Theory, 36, 187-200, (1990) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Plane and space curves, Algebraic functions and function fields in algebraic geometry, Automorphisms of curves, Curves over finite and local fields, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields DOI: 10.1090/S0002-9939-97-03748-9 Class numbers, class groups, discriminants, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Drinfel'd modules; higher-dimensional motives, etc.
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Benedetto, R. L., \textit{heights and preperiodic points of polynomials over function fields}, Int. Math. Res. Not. IMRN, 62, 3855-3866, (2005) Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Heights, Other nonalgebraically closed ground fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Cycles and subschemes, Algebraic functions and function fields in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Arithmetic theory of algebraic function fields, \(p\)-adic cohomology, crystalline cohomology
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Transcendental field extensions, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Manin Yu.I.: The Hasse--Witt matrix of an algebraic curve. Trans. Amer. Math. Soc. 45, 245--246 (1965) Cyclotomic function fields (class groups, Bernoulli objects, etc.), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields A.J. van der Poorten, Curves of genus \( 2\), continued fractions and Somos Sequences, J. Integer Seq. 8 (2005), Article 05.3.4. Continued fractions, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields M. Rost, On quadratic forms isotropic over the function field of a conic, Mathematische Annalen 288 (1990), 511--513. Arithmetic theory of algebraic function fields, Quadratic forms over global rings and fields, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields
| 0
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