Book 2008

Catalan's Conjecture

Authors:

ISBN: 978-1-84800-184-8 (Print) 978-1-84800-185-5 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-ix

  2. No Access

    Chapter

    Pages 1-8

    Introduction

  3. No Access

    Chapter

    Pages 9-11

    The Case “q = 2”

  4. No Access

    Chapter

    Pages 13-16

    The Case “p = 2”

  5. No Access

    Chapter

    Pages 17-20

    The Nontrivial Solution

  6. No Access

    Chapter

    Pages 21-31

    Runge’s Method

  7. No Access

    Chapter

    Pages 33-40

    Cassels’ theorem

  8. No Access

    Chapter

    Pages 41-46

    An Obstruction Group

  9. No Access

    Chapter

    Pages 47-53

    Small p or q

  10. No Access

    Chapter

    Pages 55-64

    The Stickelberger Ideal

  11. No Access

    Chapter

    Pages 65-68

    The Double Wieferich Criterion

  12. No Access

    Chapter

    Pages 69-75

    The Minus Argument

  13. No Access

    Chapter

    Pages 77-84

    The Plus Argument I

  14. No Access

    Chapter

    Pages 85-90

    Semisimple Group Rings

  15. No Access

    Chapter

    Pages 91-94

    The Plus Argument II

  16. No Access

    Chapter

    Pages 95-106

    The Density Theorem

  17. No Access

    Chapter

    Pages 107-115

    Thaine’s Theorem

  18. Back Matter

    Pages 117-124