
P-adic Analysis
A Short Course on Recent Work
Neal Koblitz(Author)
Cambridge University Press
Published on 28. November 1980
Book
Paperback/Softback
168 pages
978-0-521-28060-0 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 9 mm
Weight
254 gr
ISBN-13
978-0-521-28060-0 (9780521280600)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
02/2011
1st Edition
Cambridge University Press
€45.99
Available for download
Content
Preface; 1. Basics; 2. p-adic functions, l-functions and r-functions; 3. Gauss sums and the p-adic gamma function; 4. p-adic regulators; Appendix; Bibliography; Index.