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

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

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