ENGLISH

The Problem of Catalan

By Yann Bugeaud , Maurice Mignotte (auth.) , Yuri F. Bilu

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-10093-7, 978-3-319-10094-4
DOI
10.1007/978-3-319-10094-4
Language
english
Format
PDF
Filesize
2 MB (2437278 bytes)
Pages
XIV, 245 p. 3 illus.\251
Time added
2014-11-10 20:00:00

Description

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 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 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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