P-adic Analysis by Neal Koblitz

P-adic Analysis by Neal Koblitz

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.

SKU	Non disponible
ISBN 13	9780521280600
ISBN 10	0521280605
Titre	P-adic Analysis
Auteur	Neal Koblitz
Série	London Mathematical Society Lecture Note Series
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	1980-11-28
Nombre de pages	168
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible