Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
P-Adic Analysis: A Short Course on Recent Work

P-Adic Analysis: A Short Course on Recent Work

Koblitz, Neal
Cassels, J. W. S.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 46

General MathematicsProbability & Statistics

ISBN10: 0521280605
ISBN13: 9780521280600
Publisher: Cambridge University Press
Published: Nov 28 1980
Pages: 168
Weight: 0.59
Height: 0.43 Width: 6.10 Depth: 9.06
Language: English
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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