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The Problem of Catalan

Author: Yuri F Bilu; Yann Bugeaud; Maurice Mignotte
Publisher: Cham : Springer International Publishing, 2014.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Livres numériques
Additional Physical Format: Version imprimée:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yuri F Bilu; Yann Bugeaud; Maurice Mignotte
ISBN: 9783319100944 3319100947
OCLC Number: 900448071
Description: 1 online resource
Contents: An Historical Account.- Even Exponents.- Cassels' Relations.- Cyclotomic Fields.- Dirichlet L-Series and Class Number Formulas.- Higher Divisibility Theorems.- Gauss Sums and Stickelberger's Theorem.- Mihailescu's Ideal.- The Real Part of Mihailescu's Ideal.- Cyclotomic units.- Selmer Group and Proof of Catalan's Conjecture.- The Theorem of Thaine.- Baker's Method and Tijdeman's Argument.- Appendix A: Number Fields.- Appendix B: Heights.- Appendix C: Commutative Rings, Modules, Semi-Simplicity.- Appendix D: Group Rings and Characters.- Appendix E: Reduction and Torsion of Finite G-Modules.- Appendix F: Radical Extensions.
Responsibility: by Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte.

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