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Více informací o knize P-adic Analysis

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Probability & statistics

• Plný název: P-adic Analysis
• Podnázev: A Short Course on Recent Work
• Autor: Neal Koblitz
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 168
• EAN: 9780521280600
• ISBN: 0521280605
• ID: 02026392
• Nakladatelství: Cambridge University Press
• Hmotnost: 274 g
• Rozměry: 228 × 152 × 10 mm
• Datum vydání: 28. November 1980

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