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P-adic Analysis

P-adic Analysis
A Short Course on Recent Work

£35.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: December 1980
  • availability: Available
  • format: Paperback
  • isbn: 9780521280600

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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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    Product details

    • Date Published: December 1980
    • format: Paperback
    • isbn: 9780521280600
    • length: 168 pages
    • dimensions: 229 x 152 x 10 mm
    • weight: 0.26kg
    • availability: Available
  • Table of 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.

  • Author

    Neal Koblitz

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