Number Theory Related to Fermat’s Last Theorem: Proceedings of the conference sponsored by the Vaughn Foundation

P. Ribenboim (auth.), Neal Koblitz (eds.)9783764331047, 3764331046

Книга Number Theory Related to Fermat’s Last Theorem Number Theory Related to Fermat’s Last Theorem Книги Математика Автор: Neal Koblitz Год издания: 1983 Формат: pdf Издат.:Birkhauser Verlag AG Страниц: 362 Размер: 5,8 ISBN: 3764331046 Язык: Английский0 (голосов: 0) Оценка:Proceedings of the Conference Sponsored by the Vaughn Foundation

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Table of contents :
Front Matter….Pages i-x
The Work of Kummer on Fermat’s Last Theorem….Pages 1-29
Kummer, Eisenstein, and Higher Reciprocity Laws….Pages 31-43
Geometry of Fermat Varieties….Pages 45-56
The Degenerate Fibre of the Fermat Curve….Pages 57-70
Some Remarks on Weierstrass Points….Pages 71-78
Diophantine Properties of the Periods of the Fermat Curve….Pages 79-88
The Fermat Equation and Transcendence Theory….Pages 89-96
An Archimedean Analogue of the Root Number….Pages 97-102
Period Integrals of Eisenstein Cohomology Classes and Special Values of Some L-Functions….Pages 103-142
Cuspidal Automorphic Representations Associated to Parabolic Subgroups and Ramanujan Conjecture….Pages 143-151
On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves….Pages 153-193
On the Sato-Tate Conjecture….Pages 195-205
Values of L-Functions of Jacobi-Sum Hecke Characters of Abelian Fields….Pages 207-218
On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication….Pages 219-236
Mordell-Weil Groups of Elliptic Curves Over Cyclotomic Fields….Pages 237-254
Remarks on Equations Related to Fermat’s Last Theorem….Pages 255-261
The Cubic Thue Equation….Pages 263-267
Iwasawa Theory for Several Primes and a Connection to Wieferich’s Criterion….Pages 269-274
Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields….Pages 275-285
Regulators, Iwasawa Modules, and the Main Conjecture for p = 2….Pages 287-296
Zeros of p-Adic L-Functions, II….Pages 297-308
Some Arithmetic Problems on Automorphisms of Algebraic Varieties….Pages 309-319
Elliptic Units in Function Fields….Pages 321-340
Primality Testing with Artin Symbols….Pages 341-347
The Coates-Wiles Theorem Revisited….Pages 349-362
Back Matter….Pages 363-366