The Problem of Catalan
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Autor: Yuri F. Bilu , Yann Bugeaud
Editura: Springer
Limba: Engleza
Nr. pagini: 260
Coperta: Hardback
Dimensiuni: 15.5 x 1.6 x 23.5 cm
An aparitie: 2014
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.
Springer
An aparitie | 2014 |
Autor | Yuri F. Bilu , Yann Bugeaud |
Dimensiuni | 15.5 x 1.6 x 23.5 cm |
Editura | Springer |
Format | Hardback |
ISBN | 9783319100937 |
Limba | Engleza |
Nr pag | 260 |
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