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P-adic Analysis : a Short Course on Recent Work

Author: Neal Koblitz
Publisher: Cambridge : Cambridge University Press, 1980.
Series: London Mathematical Society lecture note series, no. 46.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Neal Koblitz
ISBN: 9780511526107 0511526105 9780521280600 0521280605 9781107365988 1107365988
OCLC Number: 776970916
Notes: Title from publishers bibliographic system (viewed 22 Dec 2011).
Description: 1 online resource (168 pages).
Contents: Preface; 1. Basics; 2. p-adic functions, l-functions and r-functions; 3. Gauss sums and the p-adic gamma function; 4. p-adic regulators; Appendix; Bibliography; Index.
Series Title: London Mathematical Society lecture note series, no. 46.
Responsibility: Neal Koblitz.

Abstract:

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.

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