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P-adic Analysis

A Short Course on Recent Work

Language EnglishEnglish
Book Paperback
Book P-adic Analysis Neal Koblitz
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
? points 170 b
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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.

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About the book

Full name P-adic Analysis
Author Neal Koblitz
Language English
Binding Book - Paperback
Date of issue 1980
Number of pages 168
EAN 9780521280600
ISBN 0521280605
Libristo code 02026392
Weight 274
Dimensions 152 x 228 x 10
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