Number Theory Related to Fermat’s Last Theorem: Proceedings of the conference sponsored by the Vaughn Foundation (Progress in Mathematics, 26)

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 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 Neal Koblitz, Editor. Includes Bibliographical References.