The Problem of Catalan
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…
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Produktdetails
Weitere Autoren: Bugeaud, Yann / Mignotte, Maurice
- ISBN: 978-3-319-10093-7
- EAN: 9783319100937
- Produktnummer: 16686079
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2014
- Seitenangabe: 245 S.
- Masse: H24.1 cm x B16.0 cm x D2.0 cm 559 g
- Abbildungen: Book; 1 schwarz-weiße Tabellen, Bibliographie
- Gewicht: 559
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