| P-Adic Analysis: A Short Course on Recent Work Contributor(s): Koblitz, Neal (Author), Cassels, J. W. S. (Editor), Hitchin, N. J. (Editor) |
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ISBN: 0521280605 ISBN-13: 9780521280600 Publisher: Cambridge University Press OUR PRICE: $56.04 Product Type: Paperback - Other Formats Published: November 1980 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Probability & Statistics - General |
| Dewey: 512.74 |
| LCCN: 80040806 |
| Series: Cambridge Greek and Latin Classics |
| Physical Information: 0.43" H x 6.1" W x 9.06" (0.59 lbs) 168 pages |