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P-Adic Analysis: A Short Course on Recent Work

Name: P-Adic Analysis: A Short Course on Recent Work
Brand: Cambridge University Press
SKU: 9780521280600
Price: 7568.00 INR
Availability: InStock
ISBN: 9780521280600

P-ADIC ANALYSIS

Contributor(s): Koblitz, NEAL Author , Cassels, J. W. S. Editor , Hitchin, N. J. Editor Format: Paperback

Paperback · ISBN 9780521280600

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Key Specifications

ISBN	9780521280600
Subtitle	P-ADIC ANALYSIS
Publisher	Cambridge University Press
Publication date	April 1980
Language	English
MRP	£60.00 GBP
Page count	168
Item weight	57 g

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.

P-Adic Analysis: A Short Course on Recent Work

Key Specifications

Koblitz, NEAL Author

Cassels, J. W. S. Editor

Hitchin, N. J. Editor

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