P-Adic Analysis : A Short Course on Recent Work
Koblitz, Neal
ISBN 10: 0521280605 ISBN 13: 9780521280600
Published by Cambridge University Press, 1980
Used
Soft cover
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Better World Books Ltd, Dunfermline, United Kingdom
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About this Item
Description:
Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 5925410-20
Synopsis:
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.
Book Description: An introduction to recent work in the theory of numbers and its interrelation with algebraic geometry and analysis.
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Bibliographic Details
Title: P-Adic Analysis : A Short Course on Recent ...
Publisher: Cambridge University Press
Publication Date: 1980
Binding: Soft cover
Condition: Good