LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46) - Image 1

£55.99

Cambridge University Press LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46)

Name: LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46)
Brand: Cambridge University Press
Price: 55.99 GBP
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Mathematical Analysis

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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.

Product Specifications

Brand: Cambridge University Press
Format: Paperback
ASIN: 0521280605
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 12 January 2008
Listed Since: 04 January 2007

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Cambridge University Press LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46)

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