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P-adic Analysis - A Short Course on Recent Work (Paperback) Loot Price: R1,339
Discovery Miles 13 390
P-adic Analysis - A Short Course on Recent Work (Paperback): Neal Koblitz

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

Neal Koblitz

Series: London Mathematical Society Lecture Note Series

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Loot Price R1,339 Discovery Miles 13 390 | Repayment Terms: R125 pm x 12*

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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.

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
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LSN: 0-521-28060-5
Barcode: 9780521280600

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