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The Problem of Catalan
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(Buch) |
Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!
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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, 3
2
- 2
3
= 1 is the only solution of the equation
x
p
-
y
q
= 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. |
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Auf Bestellung (Lieferzeit unbekannt)
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