| Title:
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P-ADIC ANALYSIS
A SHORT COURSE ON RECENT WORK |
| By: |
Neal Koblitz, N. J. Hitchin |
| Format: |
Paperback |
| List price:
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£38.99 |
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| ISBN 10: |
0521280605 |
| ISBN 13: |
9780521280600 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
28 November, 1980 |
| Series: |
London Mathematical Society Lecture Note Series No. 46 |
| Pages: |
168 |
| Synopsis: |
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. |
| Illustrations: |
Illustrations |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |