P-adic analysis : a short course on recent work

＜図書＞
P-adic analysis : a short course on recent work

責任表示	Neal Koblitz
シリーズ	London Mathematical Society lecture note series ; 46
データ種別	図書
出版情報	Cambridge [Eng.] ; New York : Cambridge University Press , 1980
本文言語	英語
大きさ	163 p. ; 23 cm
概要	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 re...iewing 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6843145 https://hdl.handle.net/2324/7015931

一般注記	Bibliography: p. 154-160 Includes index
著者標目	*Koblitz, Neal, 1948-
件　名	LCSH:p-adic analysis
分　類	LCC:QA241 DC19:512/.74 NDC8:412.2
書誌ID	1001050012
ISBN	0521280605
NCID	BA00755416
巻冊次	: pbk ; ISBN:0521280605
NBN	GB80
登録日	2009.09.17
更新日	2017.02.18