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Category: Theory no edition: 1 Authors: P. Ribenboim (auth.), Neal Koblitz (eds.) serie: Progress in Mathematics 26 ISBN : 3764331046, 9783764331047 publisher: Birkhäuser Basel publish year: 1982 pages: 372 language: English ebook format : DJVU (It will be converted to PDF, EPUB OR AZW3 if requested by the user) file size: 2 MB

price : $11.05 13 With 15% OFF

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