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P-adic Analysis

Name: P-adic Analysis
Brand: Cambridge University Press
SKU: 02026392
Price: 68.34 EUR
Availability: InStock
Author: Neal Koblitz
ISBN: 9780521280600

A Short Course on Recent Work

Neal Koblitz

Language

English

Book Paperback

Libristo code: 02026392

Publishers Cambridge University Press, November 1980

This introduction to recent work in p-adic analysis and number theory will make accessible to a rela... Full description

Libristo code: 02026392

166 b

68.34 €

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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.