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Wir sind gerne für Sie daThis introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.
Produkteigenschaften
- Artikelnummer: 9780521280600
- Medium: Buch
- ISBN: 978-0-521-28060-0
- Verlag: Cambridge University Press
- Erscheinungstermin: 15.05.2004
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2004
- Serie: London Mathematical Society Lecture Note Series
- Produktform: Kartoniert, Paperback
- Gewicht: 254 g
- Seiten: 167
- Format (B x H x T): 152 x 229 x 9 mm
- Ausgabetyp: Kein, Unbekannt