The Problem of Catalan

Yuri F. Bilu (), Yann Bugeaud () and Maurice Mignotte ()
Additional contact information
Yuri F. Bilu: University of Bordeaux and CNRS, Institute of Mathematics of Bordeaux
Yann Bugeaud: University of Strasbourg and CNRS, IRMA, Mathematical Institute
Maurice Mignotte: University of Strasbourg and CNRS, IRMA, Mathematical Institute

in Springer Books from Springer

Date: 2014
Edition: 2014
ISBN: 978-3-319-10094-4
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Chapters in this book:

Ch Chapter 1 A Historical Account

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 10 Cyclotomic Units

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 11 Selmer Group and Proof of Catalan’s Conjecture

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 12 The Theorem of Thaine

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 13 Baker’s Method and Tijdeman’s Argument

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 2 Even Exponents

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 3 Cassels’ Relations

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 4 Cyclotomic Fields

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 5 Dirichlet L-Series and Class Number Formulas

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 6 Higher Divisibility Theorems

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 7 Gauss Sums and Stickelberger’s Theorem

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 8 Mihăilescu’s Ideal

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

Ch Chapter 9 The Real Part of Mihăilescu’s Ideal

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte

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DOI: 10.1007/978-3-319-10094-4

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