leaf stringlengths 2 276k | full_path stringlengths 39 276k |
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Local Field Extensions | Mathematics -> Algebra -> Algebraic Number Theory -> Local Fields -> Local Field Extensions |
Local Galois Groups | Mathematics -> Algebra -> Algebraic Number Theory -> Local Fields -> Local Galois Groups |
Analytic Functions over Local Fields | Mathematics -> Algebra -> Algebraic Number Theory -> Local Fields -> Analytic Functions over Local Fields |
Non-Archimedean Fields | Mathematics -> Algebra -> Algebraic Number Theory -> Local Fields -> Non-Archimedean Fields |
Completed Rings | Mathematics -> Algebra -> Algebraic Number Theory -> Local Fields -> Completed Rings |
Uniformizers | Mathematics -> Algebra -> Algebraic Number Theory -> Local Fields -> Uniformizers |
Class Group Structure | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Class Group Structure |
Ideal Class Group Properties | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Ideal Class Group Properties |
Ideal Class Group in Number Fields | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Ideal Class Group in Number Fields |
Class Group Computations | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Class Group Computations |
Ideal Class Group in Dedekind Domains | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Ideal Class Group in Dedekind Domains |
Class Group as a Finite Abelian Group | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Class Group as a Finite Abelian Group |
Class Group and the Class Number Problem | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Class Group and the Class Number Problem |
Finiteness of the Class Group | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Finiteness of the Class Group |
Class Group as a Module over the Ring of Integers | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Class Group as a Module over the Ring of Integers |
Units and Ideal Class Group Relationship | Mathematics -> Algebra -> Algebraic Number Theory -> Ideal Class Groups -> Units and Ideal Class Group Relationship |
Number-Theoretic Cryptanalysis | Mathematics -> Algebra -> Algebraic Number Theory -> Applications of Algebraic Number Theory -> Number-Theoretic Cryptanalysis |
Dedekind Zeta Function Applications | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Applications |
Dedekind Zeta Function Convergence | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Convergence |
Dedekind Zeta Function Extensions | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Extensions |
Dedekind Zeta Function Special Values | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Special Values |
Dedekind Zeta Function Regularization | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Regularization |
Dedekind Zeta Function Zero Distribution | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Zero Distribution |
Dedekind Zeta Function Analytic Continuation | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Analytic Continuation |
Dedekind Zeta Function Functional Equation | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Functional Equation |
Dedekind Zeta Function Class Number Formula | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Class Number Formula |
Dedekind Zeta Function Dirichlet Series | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Dirichlet Series |
Dedekind Zeta Function Euler Product | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Euler Product |
Dedekind Zeta Function Arithmetic Progressions | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Arithmetic Progressions |
Dedekind Zeta Function Ideal Class Groups | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Ideal Class Groups |
Dedekind Zeta Function Galois Representations | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Galois Representations |
Dedekind Zeta Function Iwasawa Theory | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Dedekind Zeta Function Iwasawa Theory |
Functional Equation | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Functional Equation |
Analytic Continuation | Mathematics -> Algebra -> Algebraic Number Theory -> Dedekind Zeta Functions -> Analytic Continuation |
Analytic Properties | Mathematics -> Algebra -> Algebraic Number Theory -> Dirichlet L-functions -> Analytic Properties |
L-functions in Arithmetic Progressions | Mathematics -> Algebra -> Algebraic Number Theory -> Dirichlet L-functions -> L-functions in Arithmetic Progressions |
Computational Aspects | Mathematics -> Algebra -> Algebraic Number Theory -> Dirichlet L-functions -> Computational Aspects |
Cohomological Invariants | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Invariants |
Cohomological Methods in Class Field Theory | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Methods in Class Field Theory |
Cohomological Interpretations of Reciprocity Laws | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Interpretations of Reciprocity Laws |
Cohomological Properties of Galois Groups | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Properties of Galois Groups |
Cohomological Techniques in Arithmetic Geometry | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Techniques in Arithmetic Geometry |
Cohomological Classification of Extensions | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Classification of Extensions |
Cohomological Approximations | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Approximations |
Cohomological Approaches to Galois Representations | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomological Aspects -> Cohomological Approaches to Galois Representations |
Cohomology Groups | Mathematics -> Algebra -> Algebraic Number Theory -> Cohomology of Number Fields -> Cohomology Groups |
p-adic L-functions in Modular Forms | Mathematics -> Algebra -> Algebraic Number Theory -> p-adic L-functions -> p-adic L-functions in Modular Forms |
p-adic L-functions and Euler Systems | Mathematics -> Algebra -> Algebraic Number Theory -> p-adic L-functions -> p-adic L-functions and Euler Systems |
p-adic L-functions and Kolyvagin Systems | Mathematics -> Algebra -> Algebraic Number Theory -> p-adic L-functions -> p-adic L-functions and Kolyvagin Systems |
p-adic L-functions and Selmer Groups | Mathematics -> Algebra -> Algebraic Number Theory -> p-adic L-functions -> p-adic L-functions and Selmer Groups |
p-adic L-functions and p-adic Measures | Mathematics -> Algebra -> Algebraic Number Theory -> p-adic L-functions -> p-adic L-functions and p-adic Measures |
p-adic L-functions and Coleman Power Series | Mathematics -> Algebra -> Algebraic Number Theory -> p-adic L-functions -> p-adic L-functions and Coleman Power Series |
Module Structures over Iwasawa Algebras | Mathematics -> Algebra -> Algebraic Number Theory -> Iwasawa Modules -> Module Structures over Iwasawa Algebras |
Iwasawa Main Conjectures | Mathematics -> Algebra -> Algebraic Number Theory -> Iwasawa Modules -> Iwasawa Main Conjectures |
Module Rank and Torsion in Iwasawa Modules | Mathematics -> Algebra -> Algebraic Number Theory -> Iwasawa Modules -> Module Rank and Torsion in Iwasawa Modules |
Galois Module Structure | Mathematics -> Algebra -> Algebraic Number Theory -> Galois Module Structure |
Special Values of L-functions | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values of L-functions |
Special Values in Arithmetic Geometry | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values in Arithmetic Geometry |
Special Values and Class Numbers | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values and Class Numbers |
Special Values of Eisenstein Series | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values of Eisenstein Series |
Special Values in Shimura Varieties | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values in Shimura Varieties |
Special Values and Euler Systems | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values and Euler Systems |
Special Values in Multiple Zeta Values | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values in Multiple Zeta Values |
Special Values and Periods | Mathematics -> Algebra -> Algebraic Number Theory -> Special Values -> Special Values and Periods |
Local Solubility | Mathematics -> Algebra -> Algebraic Number Theory -> Hasse Principle -> Local Solubility |
Global-Local Compatibility | Mathematics -> Algebra -> Algebraic Number Theory -> Hasse Principle -> Global-Local Compatibility |
Weak Approximation | Mathematics -> Algebra -> Algebraic Number Theory -> Weak Approximation |
Complete Discrete Valuation Rings | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Complete Discrete Valuation Rings |
Residue Field Extensions | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Residue Field Extensions |
Valuation Ideal Structure | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Valuation Ideal Structure |
Ramification in Discrete Valuation Rings | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Ramification in Discrete Valuation Rings |
Valuation Topology | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Valuation Topology |
Residue Fields | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Residue Fields |
Uniformizing Elements | Mathematics -> Algebra -> Algebraic Number Theory -> Discrete Valuation Rings -> Uniformizing Elements |
Hensel's Lemma Applications | Mathematics -> Algebra -> Algebraic Number Theory -> Hensel's Lemma -> Hensel's Lemma Applications |
Lifting Solutions in Polynomial Equations | Mathematics -> Algebra -> Algebraic Number Theory -> Hensel's Lemma -> Lifting Solutions in Polynomial Equations |
Ramification Theory in p-adic Fields | Mathematics -> Algebra -> Algebraic Number Theory -> Arithmetic of p-adic Fields -> Ramification Theory in p-adic Fields |
Local Units and Class Groups | Mathematics -> Algebra -> Algebraic Number Theory -> Arithmetic of p-adic Fields -> Local Units and Class Groups |
Serre-Tate Theory | Mathematics -> Algebra -> Algebraic Number Theory -> Galois Representations and Modular Forms -> Serre-Tate Theory |
Fontaine-Mazur Conjecture | Mathematics -> Algebra -> Algebraic Number Theory -> Galois Representations and Modular Forms -> Fontaine-Mazur Conjecture |
Modularity Lifting Theorems | Mathematics -> Algebra -> Algebraic Number Theory -> Galois Representations and Modular Forms -> Modularity Lifting Theorems |
Serre's Conjecture | Mathematics -> Algebra -> Algebraic Number Theory -> Galois Representations and Modular Forms -> Serre's Conjecture |
Applications to Diophantine Equations | Mathematics -> Algebra -> Algebraic Number Theory -> Modularity Theorem -> Applications to Diophantine Equations |
Modular Degree | Mathematics -> Algebra -> Algebraic Number Theory -> Modularity Theorem -> Modular Degree |
Modular Symbols Algorithm | Mathematics -> Algebra -> Algebraic Number Theory -> Modularity Theorem -> Modular Symbols Algorithm |
Taniyama-Shimura Conjecture | Mathematics -> Algebra -> Algebraic Number Theory -> Taniyama-Shimura Conjecture |
Commutative Ideals | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Commutative Ideals |
Integral Extensions | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Integral Extensions |
Completion of Rings | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Completion of Rings |
Semilocal Rings | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Semilocal Rings |
Monomial Ideals | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Monomial Ideals |
Krull's Principal Ideal Theorem | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Krull's Principal Ideal Theorem |
Cohen-Macaulay Rings | Mathematics -> Algebra -> Commutative Algebra -> Commutative Ring Theory -> Cohen-Macaulay Rings |
Monomial Orders | Mathematics -> Algebra -> Commutative Algebra -> Polynomial Rings -> Monomial Orders |
Resultants | Mathematics -> Algebra -> Commutative Algebra -> Polynomial Rings -> Resultants |
Localizations of Polynomial Rings | Mathematics -> Algebra -> Commutative Algebra -> Polynomial Rings -> Localizations of Polynomial Rings |
Factorization in Polynomial Rings | Mathematics -> Algebra -> Commutative Algebra -> Polynomial Rings -> Factorization in Polynomial Rings |
Tensor Products of Polynomial Rings | Mathematics -> Algebra -> Commutative Algebra -> Polynomial Rings -> Tensor Products of Polynomial Rings |
Gröbner Basis Algorithms | Mathematics -> Algebra -> Commutative Algebra -> Gröbner Bases -> Gröbner Basis Algorithms |
Ideal Membership Problem | Mathematics -> Algebra -> Commutative Algebra -> Gröbner Bases -> Ideal Membership Problem |
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