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The problem of Catalan

Author: Yuri Bilu; Yann Bugeaud; Maurice Mignotte
Publisher: Cham ; Heildelberg ; New York (N.Y.) : Springer, cop. 2014.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Problem of Catalan / by Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte.
Cham : Springer International Publishing, 2014. (@Mathematics and Statistics (Springer-11649))
978-3-319-10094-4
(ABES)18209412X
Document Type: Book
All Authors / Contributors: Yuri Bilu; Yann Bugeaud; Maurice Mignotte
ISBN: 9783319100937 3319100939
OCLC Number: 900414191
Description: 1 vol. (XIV-245 p.) ; 25 cm
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: Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte.

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