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

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