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Number Theory Related to Fermat’s Last Theorem

Proceedings of the conference sponsored by the Vaughn Foundation

  • Conference proceedings
  • © 1982

Overview

Editors:
  1. Neal Koblitz

    1. Department of Mathematics, University of Washington, Seattle, USA

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Part of the book series: Progress in Mathematics (PM, volume 26)

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Table of contents (25 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. The Work of Kummer on Fermat’s Last Theorem

    • P. Ribenboim
    Pages 1-29

  3. Kummer, Eisenstein, and Higher Reciprocity Laws

    • Harold M. Edwards
    Pages 31-43

  4. Geometry of Fermat Varieties

    • Tetsuji Shioda
    Pages 45-56

  5. The Degenerate Fibre of the Fermat Curve

    • William G. McCallum
    Pages 57-70

  6. Some Remarks on Weierstrass Points

    • David E. Rohrlich
    Pages 71-78

  7. Diophantine Properties of the Periods of the Fermat Curve

    • Michel Waldschmidt
    Pages 79-88

  8. The Fermat Equation and Transcendence Theory

    • A. Baker
    Pages 89-96

  9. An Archimedean Analogue of the Root Number

    • Greg Anderson
    Pages 97-102

  10. Period Integrals of Eisenstein Cohomology Classes and Special Values of Some L-Functions

    • G. Harder
    Pages 103-142

  11. Cuspidal Automorphic Representations Associated to Parabolic Subgroups and Ramanujan Conjecture

    • I. Piatetski-Shapiro
    Pages 143-151

  12. On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves

    • Dorian Goldfeld, Jeffrey Hoffstein, Samuel James Patterson
    Pages 153-193

  13. On the Sato-Tate Conjecture

    • V. Kumar Murty
    Pages 195-205

  14. Values of L-Functions of Jacobi-Sum Hecke Characters of Abelian Fields

    • Stephen Lichtenbaum
    Pages 207-218

  15. On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication

    • Benedict H. Gross
    Pages 219-236

  16. Mordell-Weil Groups of Elliptic Curves Over Cyclotomic Fields

    • Karl Rubin, Andrew Wiles
    Pages 237-254

  17. Remarks on Equations Related to Fermat’s Last Theorem

    • S. Chowla, M. Cowles
    Pages 255-261

  18. The Cubic Thue Equation

    • Joseph H. Silverman
    Pages 263-267

  19. Iwasawa Theory for Several Primes and a Connection to Wieferich’s Criterion

    • Eduardo Friedman
    Pages 269-274

  20. Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields

    • Ralph Greenberg
    Pages 275-285
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Keywords

Editors and Affiliations

  • Department of Mathematics, University of Washington, Seattle, USA

    Neal Koblitz

Bibliographic Information

  • Book Title: Number Theory Related to Fermat’s Last Theorem

  • Book Subtitle: Proceedings of the conference sponsored by the Vaughn Foundation

  • Editors: Neal Koblitz

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4899-6699-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1982

  • Softcover ISBN: 978-0-8176-3104-8Published: 01 January 1982

  • eBook ISBN: 978-1-4899-6699-5Published: 21 November 2013

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: X, 366

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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