The Problem of Catalan - Yuri F. Bilu - Books - Springer International Publishing AG - 9783319100937 - October 27, 2014
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Yuri F. Bilu
The Problem of Catalan 2014 edition

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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 Mih?ilescu. 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 Mih?ilescu?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.

245 pages, 3 black & white illustrations, 1 black & white tables, biography

Media Books     Hardcover Book   (Book with hard spine and cover)
Released October 27, 2014
ISBN13 9783319100937
Publishers Springer International Publishing AG
Pages 245
Dimensions 155 × 235 × 16 mm   ·   539 g
Language English  

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