Yuri F. Bilu,
Yann Bugeaud,
Maurice Mignotte
The Problem of Catalan
Gebonden Engels 2014 2014e druk 9783319100937Levertijd ± 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783319100937
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:245
Uitgever:Springer International Publishing
Druk:2014
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