P-adic Analysis
A Short Course on Recent Work
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-ad…
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Produktdetails
- ISBN: 978-0-511-89206-6
- EAN: 9780511892066
- Produktnummer: 14823701
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 1980
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 25'789 KB
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A Short Course on Recent Work
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