Hidden Bibliographic Details
| ISBN: | 9781107361072
1107361079
9780511526107
0511526105
0521280605
9780521280600
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| Notes: | Includes bibliographical references (pages 154-160) and index.
Print version record.
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| Summary: | 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.
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| Other form: | Print version: Koblitz, Neal, 1948- P-adic analysis. Cambridge [Eng.] ; New York : Cambridge University Press, 1980 0521280605
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