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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 Douai, J. C.: Le théorème de Tate-poitou pour LES corps de fonctions des courbes. Comm. algebra 15, No. 11, 2379-2390 (1987) Galois cohomology, Algebraic functions and function fields in algebraic geometry, Power series rings, Arithmetic theory of algebraic function fields, Class field 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 Nguyen, K. V.: Non semistable Arakelov bound and hyperelliptic Szpiro ratio for function field, Proc. amer. Math. soc. 127, No. 11, 3125-3130 (1999) Algebraic functions and function fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, 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 Arithmetic theory of algebraic function fields, Additive number theory; partitions, Combinatorial aspects of commutative algebra, 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 Joseph G. D'Mello and Manohar L. Madan, Algebraic function fields with solvable automorphism group in characteristic \?, Comm. Algebra 11 (1983), no. 11, 1187 -- 1236. Transcendental field extensions, Arithmetic theory of algebraic function fields, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory
| 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, History of number theory, History of 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 Finite-dimensional division rings, Brauer groups (algebraic 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 Units and factorization, 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 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 Abramenko, P.: Über einige diskret normierte functionenringe, die keine GE2-ringe sind. Arch. math. 46, 233-239 (1986) Arithmetic theory of algebraic function fields, Endomorphism rings; matrix rings, \(K\)-theory of global fields, Algebraic functions and function fields in algebraic geometry, Linear algebraic groups over global fields and their integers, Generators, relations, and presentations of groups, Subgroup theorems; subgroup growth
| 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 Drinfel'd modules; higher-dimensional motives, etc., Curves over finite and local fields, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Geometric methods (including applications of algebraic geometry) applied to coding theory, Cyclotomic function fields (class groups, Bernoulli objects, 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 Antoine Ducros, L'obstruction de réciprocité à l'existence de points rationnels pour certaines variétés sur le corps des fonctions d'une courbe réelle, J. Reine Angew. Math. 504 (1998), 73 -- 114 (French, with English summary). Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Real algebraic and real-analytic 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 K. Neumann, Every finitely generated regular field extension has a stable transcendence base. \textit{Israel J. Math}. \textbf{104} (1998), 221-260. MR1622303 Zbl 0923.12006 Transcendental field extensions, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory
| 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, 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 Garcia A., Stichtenoth H.: On Chebyshev polynomials and maximal curves. Acta Arith. 90, 301--311 (1999) 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 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Thue-Mahler equations, 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 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)
| 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 Garcia, Arnaldo; Stichtenoth, Henning; Rück, Hans-Georg, On tame towers over finite fields, J. Reine Angew. Math., 0075-4102, 557, 53-80, (2003) Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
|
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 Bauer M., ''The Arithmetic of Certain Cubic Function Fields.'' Arithmetic theory of algebraic function fields, Cryptography, Algebraic functions and function fields in algebraic geometry, Algebraic number theory computations
| 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 Niederreiter, H.; Xing, C., Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-varshamov bound, Math. Nachr., 195, 171-186, (1998) Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes
| 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 Платонов, В. П., УМН, 69, 1-415, 3-38, (2014) Units and factorization, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Jacobians, Prym varieties
| 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 Chip Snyder, A concept of Bernoulli numbers in algebraic function fields, J. Reine Angew. Math. 307/308 (1979), 295 -- 308. Arithmetic theory of algebraic function fields, Bernoulli and Euler numbers and polynomials, Algebraic numbers; rings of algebraic integers, Algebraic functions and function fields in algebraic geometry, Elliptic 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 K. MAEHARA, On the higher dimensional Mordell conjecture over function fields, Osaka J. Math. 2 (1991), 255-261. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
|
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 N. Anbar, P. Beelen, N. Nguyen, The exact limit of some cubic towers, to appear in Contemporary Mathematics, proceedings of AGCT-15. 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 Hensel, K., u.G. Landsberg: Theorie der algebraischen Funktionen einer Veränderlichen. Leipzig 1902. Algebraic functions and function fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic theory of algebraic function fields, Research exposition (monographs, survey articles) pertaining to number theory
| 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, Real algebraic and real-analytic 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 Kumar Murty, Vijaya; Scherk, John, Effective versions of the Chebotarev density theorem for function fields, C. R. Acad. Sci. Paris Sér. I Math., 319, 6, 523-528, (1994) Arithmetic theory of algebraic function fields, Density theorems, 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 García, Arnaldo, On Weierstrass points on Artin-Schreier extensions of \(k(x)\), Math. Nachr., 144, 233-239, (1989), MR MR1037171 (91f:14021) Riemann surfaces; Weierstrass points; gap sequences, 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 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 Buium, A. : Corps différentiels et modules des variétés algébriques . C.R. Acad. Sci. Paris 299 (1984) 983-985. Algebraic functions and function fields in algebraic geometry, Algebraic moduli of abelian varieties, classification, Differential algebra, 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 S. Lang, Galois Cohomology of Abelian Varieties over \(P\)-adic Fields , Notes based on letters from Tate, unpublished. Curves in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to field theory, Complex multiplication and moduli of abelian varieties, Analytic theory of abelian varieties; abelian integrals and differentials, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Complex multiplication and abelian varieties
| 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 B. Fein, M. Schacher, and J. Sonn, Brauer groups of fields of genus zero, J. Algebra 114 (1988), no. 2, 479 -- 483. Arithmetic theory of algebraic function fields, Brauer groups of schemes, Abelian groups, 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 and non-Archimedean dynamical systems involving polynomial and rational maps, Families and moduli spaces in arithmetic and non-Archimedean dynamical systems, 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 Bautista-Ancona, V., Diaz-Vargas, J.: Index of maximality and Goss zeta function, preprint 2010 Zeta and \(L\)-functions in characteristic \(p\), Combinatorics of partially ordered sets, 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 Mcguire, Gary; Zaytsev, Alexey: On the zeta functions of an optimal tower of function fields over F4, Contemp. math. 518, 327-338 (2010) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for 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 A. Garciaand H. Stichtenoth. Some Artin-Schreier towers are easy. Mosc.Math. J., 5 (2005), 767--774. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Thue-Mahler equations, 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 DOI: 10.1090/S0025-5718-01-01343-6 Number-theoretic algorithms; complexity, Algebraic number theory computations, Class numbers, class groups, discriminants, 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 Symbols and arithmetic (\(K\)-theoretic aspects), 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, 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 Kunz, E.; Waldi, R.: On Kähler's integral differential forms of arithmetic function fields. Abh. math. Sem. univ. Hamburg 73, 297-310 (2003) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, 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 Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Heights, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to 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 Fuchs, C.; Pethő, A.: Composite rational functions having a bounded number of zeros and poles. Proc. am. Math. soc. 139, No. 1, 31-38 (2011) 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 \(K\)-theory and operator algebras (including cyclic theory), Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Adèle rings and 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 Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald: Two-coverings of Jacobians of curves of genus 2. Proc. lond. Math. soc. (3) 104, No. 2, 387-429 (2012) Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties
| 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 \(K3\) surfaces and Enriques surfaces, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points
| 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 Y. Hasegawa: Table of quotient curves of modular curves \(X_0(N)\) with genus 2. Proc. Japan Acad., 71A , 235-239 (1995). Curves of arbitrary genus or genus \(\ne 1\) over global fields, Holomorphic modular forms of integral weight, Modular and Shimura varieties
| 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 Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computer solution of Diophantine equations
| 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 J.M. Rojas, Uncomputably large integral points on algebraic plane curves?, Theoret. Comput. Sci., 235 (this Vol.) (2000) 145--162. Decidability of theories and sets of sentences, Diophantine equations in many variables, Arithmetic problems in algebraic geometry; Diophantine geometry, Decidability (number-theoretic aspects), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves in algebraic geometry, Rational and ruled surfaces, Undecidability and degrees of sets of sentences
| 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
| 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 of arbitrary genus or genus \(\ne 1\) over global fields, Counting solutions of Diophantine equations, Rational points
| 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 Real algebraic and real-analytic geometry, Special divisors on curves (gonality, Brill-Noether theory), 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 Symbolic computation and algebraic computation, Extension theory of commutative rings, Algebraic functions and function fields in algebraic geometry, Differential algebra, Divisors, linear systems, invertible sheaves, Software, source code, etc. for problems pertaining to measure and integration, Software, source code, etc. for problems pertaining to 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 Tadashi Ochiai and Fabien Trihan, On the Selmer groups of abelian varieties over function fields of characteristic \?>0, Math. Proc. Cambridge Philos. Soc. 146 (2009), no. 1, 23 -- 43. Arithmetic ground fields for abelian varieties, 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 A. Arnth-Jensen , E.V. Flynn , Supplement to: Non-trivial \(\Sha\) in the Jacobian of an infinite family of curves of genus 2 . Available at: http://people.maths.ox.ac.uk/flynn/genus2/af/artlong.pdf [2] N. Bruin , E.V. Flynn , Exhibiting Sha[2] on Hyperelliptic Jacobians . J. Number Theory 118 ( 2006 ), 266 - 291 . MR 2225283 | Zbl 1118.14035 Jacobians, Prym varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Rational points
| 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. Surroca. \textit{Sur l'effectivité du théorème de Siegel et la conjecture abc}. J. Number Theory, \textbf{124} (2007), 267-290. Higher degree equations; Fermat's equation, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Linear forms in logarithms; Baker's method
| 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, Curves over finite and local fields, Varieties over finite and local fields, Algebraic cycles, 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 Chu, H.: Supplementary note on ''rational invariants of certain orthogonal and unitary groups''. Bull. London math. Soc. 29, 37-42 (1997) Transcendental field extensions, Linear algebraic groups over finite fields, Geometric invariant theory, Arithmetic theory of algebraic function fields, Group actions on varieties or schemes (quotients)
| 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., Zeta functions and \(L\)-functions of number fields, Arithmetic theory of algebraic function fields, Formal groups, \(p\)-divisible 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 Leprévost, F.; Howe, E.; Poonen, B.: Sous-groupes de torsion d'ordres élevés de jacobiennes décomposables de courbes de genre 2 (Large torsion subgroups of split Jacobians of curves of genus 2). C. R. Acad. sci. Paris sér. I math. 323, 1031-1034 (1996) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\)
| 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 Lorenzo García, E., Twists of non-hyperelliptic genus 3 curves, Int. J. Number Theory, 14, 06, 1785-1812, (2018) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Plane and space 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 \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Isogeny
| 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 Pagot, G.:
\[
\mathbb{F}_{p}
\]
-espaces vectoriels de formes différentielles logarithmiques sur la droite projective. J. Number Theory 97, 58--94 (2002) Structure of families (Picard-Lefschetz, monodromy, etc.), Arithmetic theory of algebraic function fields, Local structure of morphisms in algebraic geometry: étale, flat, 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 over global fields, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), 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 B. Fein, M.M. Schacher and J. Sonn, Brauer groups of rational function fields, Bull. Amer. Math. Soc. 1, 766-768. Arithmetic theory of algebraic function fields, Galois cohomology, Transcendental field extensions, Brauer groups of schemes
| 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 Laumon, G.: Cohomology of Drinfeld Modular Varieties. Part II: Automorphic Forms, Trace Formulas and Langlands Correspondences. Cambridge Studies in Advanced Mathematics Cambridge University Press, Cambridge (2009) Modular and Shimura varieties, Drinfel'd modules; higher-dimensional motives, etc., Global ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic theory of algebraic function fields, Formal groups, \(p\)-divisible groups, Research exposition (monographs, survey articles) pertaining to number theory
| 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 Galois theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings in algebraic geometry, Rational points
| 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 Meromorphic functions of several complex variables, 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 Michael D. Fried, Shreeram S. Abhyankar, Walter Feit, Yasutaka Ihara, and Helmut Voelklein , Recent developments in the inverse Galois problem, Contemporary Mathematics, vol. 186, American Mathematical Society, Providence, RI, 1995. Papers from the Joint Summer Research Conference held at the University of Washington, Seattle, Washington, July 17 -- 23, 1993. Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to field theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Inverse Galois theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings of curves, fundamental group
| 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 Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009 Rational points, Arithmetic ground fields for abelian varieties, Linear forms in logarithms; Baker's method, Curves of arbitrary genus or genus \(\ne 1\) over global 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, Rational points, 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 A.~Petho, On the solution of the equation \(G_n=P(x)\). In \textit{Fibonacci numbers and their applications (Patras, 1984)}, vol.~28 of \textit{Math. Appl.}, (Reidel, Dordrecht, 1986) pp. 193-201 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computer solution of Diophantine equations, Jacobians, Prym varieties
| 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 Kanazawa, M; Yoshihara, H, Galois group at Galois point for genus-one curve, Int. J. Algebra, 5, 1161-1174, (2011) Elliptic curves, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields, Automorphisms of 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 Hindes, Wade, Prime divisors in polynomial orbits over function fields, Bull. Lond. Math. Soc., 48, 6, 1029-1036, (2016) Algebraic functions and function fields in algebraic geometry, Galois theory, Rational points, Arithmetic ground fields for curves, Arithmetic dynamics on general algebraic varieties
| 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 Pach, J., Zeeuw, F. de.: Distinct distances on algebraic curves in the plane. Comb. Probab. Comput. (to appear) Erdős problems and related topics of discrete geometry, Combinatorial complexity of geometric structures, 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 aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for 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 C. Towse, ''Weierstrass Points on Cyclic Covers of the Projective Line,'' Trans. Am. Math. Soc. 348, 3355--3378 (1996). Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global 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 ground fields for curves, Étale and other Grothendieck topologies and (co)homologies, 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 Local ground fields in algebraic geometry, Families, moduli of curves (algebraic), Algebraic functions and function fields in algebraic geometry, Formal groups, \(p\)-divisible groups, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)
| 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 Ghioca, D.; Hsia, L.-C., Torsion points in families of Drinfeld modules, Acta Arith., 161, 219-240, (2013) Drinfel'd modules; higher-dimensional motives, etc., Algebraic functions and function fields in algebraic geometry, Elliptic 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 Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Difference algebra, Krasner-Tate algebras, de Rham cohomology and 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, ``Hyperelliptic curves, continued fractions, and Somos sequences'', Dynamics \(\&\) Stochastics, Lecture Notes--Monograph Series, v. 48, ed. Denteneer, Dee and Hollander, Frank den and Verbitskiy, Evgeny, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006, 212--224 Continued fractions, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Elliptic 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 W. M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces , Proc. Amer. Math. Soc. 124 (1996), no. 10, 3003-3013. JSTOR: Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for 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 Javanpeykar, A.: Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin. Algebra Number Theory \textbf{8}(1), 89-140 (2014) Arithmetic varieties and schemes; Arakelov theory; heights, Dessins d'enfants theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Heights, Riemann surfaces; Weierstrass points; gap sequences, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
| 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 Lichtenbaum, S.: Behavior of the zeta-function of open surfaces at s=1. Adv. stud. Pure math. 17, 271-287 (1989) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground 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 H. F. Baker, \textit{Abelian Functions: Abel's Theorem and the Allied Theory of Theta Functions} (Cambridge Univ. Press, Cambridge, 1995). Algebraic functions and function fields in algebraic geometry, Theta functions and curves; Schottky problem, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Theta functions and abelian varieties
| 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 Fried M D. Extension of Constants, Rigidity, and the Chowla-Zassenhaus Conjecture. Finite Fields Appl, 1995, 1: 326--359 Galois theory, Separable extensions, Galois theory, Coverings 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 Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Classification theory of Riemann surfaces
| 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 Blocking sets, ovals, \(k\)-arcs, 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 Martine Girard, Géométrie du groupe des points de Weierstrass d'une quartique lisse, J. Number Theory 94 (2002), no. 1, 103 -- 135 (French, with English and French summaries). Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences
| 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 Jacobians, Prym varieties, Coverings of curves, fundamental group, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global 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 K. Merrill and H. Walling, On quadratic reciprocity over function fields, Pacific J. Math. 173 (1996), 147--150. Arithmetic theory of algebraic function fields, Power residues, reciprocity, Theta functions and abelian varieties, Gauss and Kloosterman sums; generalizations
| 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 Desarguesian and Pappian geometries, Homomorphism, automorphism and dualities in linear incidence geometry, 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 Ferruh Özbudak and Henning Stichtenoth, Constructing codes from algebraic curves, IEEE Trans. Inform. Theory 45 (1999), no. 7, 2502 -- 2505. Geometric methods (including applications of algebraic geometry) applied to coding theory, Linear codes (general theory), Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic 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, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Jacobians, Prym varieties
| 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 Michon, J. F.: Codes de goppa. Sem. th. Nombres Bordeaux 7 (1983--1984) Linear codes (general theory), Algebraic functions and function fields in algebraic geometry, 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 Anderson, GW; Ihara, Y., Pro-\(l\) branched coverings of \({ P}^1\) and higher circular \(l\)-units. II, Int. J. Math., 1, 119-148, (1990) Coverings of curves, fundamental group, Arithmetic theory of algebraic function fields, Coverings 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, Rational and unirational varieties
| 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 Tsfasman, M. A.; Vlăduţ, S. G., Infinite global fields and the generalized Brauer--Siegel theorem\upshape, Dedicated to Yuri I. Manin on the occasion of his 65th birthday, Mosc. Math. J., 2, 2, 329-402, (2002) Curves over finite and local fields, Zeta functions and \(L\)-functions of number fields, Class field theory, Rational points, Finite ground fields in algebraic geometry, 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 Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
| 0
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