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The Problem of Catalan
Engelsk
Bogcover for The Problem of Catalan af Yann Bugeaud, Maurice Mignotte, Yuri F. Bilu, 9783319362557
Specifikationer
Sprog:
Engelsk
Sider:
245
ISBN-13:
9783319362557
Indbinding:
Paperback
ISBN-10:
3319362550
Kategori:
Udg. Dato:
10 sep 2016
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
10 sep 2016

The Problem of Catalan

Engelsk
Paperback 2016
Format:

Bog beskrivelse
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 Mihailescu. 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 Mihailescu’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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Specifikationer
Sprog:
Engelsk
Sider:
245
ISBN-13:
9783319362557
Indbinding:
Paperback
ISBN-10:
3319362550
Kategori:
Udg. Dato:
10 sep 2016
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
10 sep 2016
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