LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46) - Tapa blanda

Libro 44 de 387: London Mathematical Society Lecture Notes

Koblitz

 
9780521280600: LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46)
Tapa blanda
ISBN 10: 0521280605 ISBN 13: 9780521280600
Editorial: Cambridge University Press, 2008

Sinopsis

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 Description

Book by Koblitz Neal

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Editorial
Cambridge University Press
Año de publicación
2008
Idioma
Inglés
ISBN 10 
0521280605
ISBN 13 
9780521280600
Encuadernación
Tapa blanda
Número de páginas
168
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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