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The Problem of Catalan
Yann Bugeaud
(Author)
·
Yuri F. Bilu
(Author)
·
Maurice Mignotte
(Author)
·
Springer
· Paperback
The Problem of Catalan - Bilu, Yuri F. ; Bugeaud, Yann ; Mignotte, Maurice
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Synopsis "The Problem of Catalan"
In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In other words, 32 - 23 = 1 is the only solution of the equation xp - yq = 1 in integers x, y, p, q with xy 0 and p, q >= 2.In this book we give a complete and (almost) self-contained exposition of Mihăilescu's work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background: a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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