P-adic Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Koblitz, Neal 作者

译者

1980-11 出版日期

168 页数

$ 55.37 价格

丛书系列

9780521280600 图书编码

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发表于2024-11-30

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P-adic Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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