P-adic Analysis - A Short Course on Recent Work (Paperback)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	London Mathematical Society Lecture Note Series
Release date:	November 1980
First published:	1980
Authors:	Neal Koblitz
Dimensions:	228 x 152 x 10mm (L x W x T)
Format:	Paperback - Trade
Pages:	168
ISBN-13:	978-0-521-28060-0
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics
LSN:	0-521-28060-5
Barcode:	9780521280600

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