Number Theory Related to Fermat’s Last Theorem

Table of Contents

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   Book Overview
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   Chapter 1 The Work of Kummer on Fermat’s Last Theorem
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   Chapter 2 Kummer, Eisenstein, and Higher Reciprocity Laws
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   Chapter 3 Geometry of Fermat Varieties
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   Chapter 4 The Degenerate Fibre of the Fermat Curve
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   Chapter 5 Some Remarks on Weierstrass Points
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   Chapter 6 Diophantine Properties of the Periods of the Fermat Curve
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   Chapter 7 The Fermat Equation and Transcendence Theory
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   Chapter 8 An Archimedean Analogue of the Root Number
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    Chapter 9 Period Integrals of Eisenstein Cohomology Classes and Special Values of Some L-Functions
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    Chapter 10 Cuspidal Automorphic Representations Associated to Parabolic Subgroups and Ramanujan Conjecture
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    Chapter 11 On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves
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    Chapter 12 On the Sato-Tate Conjecture
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    Chapter 13 Values of L-Functions of Jacobi-Sum Hecke Characters of Abelian Fields
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    Chapter 14 On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication
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    Chapter 15 Mordell-Weil Groups of Elliptic Curves Over Cyclotomic Fields
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    Chapter 16 Remarks on Equations Related to Fermat’s Last Theorem
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    Chapter 17 The Cubic Thue Equation
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    Chapter 18 Iwasawa Theory for Several Primes and a Connection to Wieferich’s Criterion
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    Chapter 19 Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields
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    Chapter 20 Regulators, Iwasawa Modules, and the Main Conjecture for p = 2
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    Chapter 21 Zeros of p-Adic L-Functions, II
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    Chapter 22 Some Arithmetic Problems on Automorphisms of Algebraic Varieties
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    Chapter 23 Elliptic Units in Function Fields
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    Chapter 24 Primality Testing with Artin Symbols
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    Chapter 25 The Coates-Wiles Theorem Revisited