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Beschreibung
This 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.
Produktdetails
- Typ:
- Buch
- Einband:
- Taschenbuch
- Edition:
- 1
- Sprachen:
-
Original:
Englisch
- Seitenzahl:
-
168
- Herausgeber:
-
Cambridge University Press
- Veröffentlichungsdatum:
-
2004-05-15
- Erscheinungsdatum:
-
2008-01-12
- ISBN / EAN:
-
088422186791497805212806009781845889111
- Gewicht:
-
254 g
- Maße:
-
15/23/1 cm
- GPSR-Herstellerreferenz:
-
[email protected]
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