P-adic Analysis

P-adic Analysis  (English, Paperback, Koblitz Neal)

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    Highlights
    • Language: English
    • Binding: Paperback
    • Publisher: Cambridge University Press
    • Genre: Mathematics
    • ISBN: 9780521280600, 9780521280600
    • Pages: 168
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  • Description
    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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    Specifications
    Book Details
    Imprint
    • Cambridge University Press
    Series & Set Details
    Series Name
    • London Mathematical Society Lecture Note Series
    Dimensions
    Width
    • 10 mm
    Height
    • 228 mm
    Length
    • 152 mm
    Weight
    • 240 gr
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