Padic Analysis [electronic resource] : A Short Course on Recent Work
 Responsibility
 Neal Koblitz.
 Language
 English.
 Imprint
 Cambridge : Cambridge University Press, 1980.
 Physical description
 1 online resource (168 p.) : digital, PDF file(s).
 Series
 London Mathematical Society lecture note series ; no. 46.
Access
Available online
 dx.doi.org Cambridge Books Online
More options
Creators/Contributors
 Author/Creator
 Koblitz, Neal.
Contents/Summary
 Contents

 Preface 1. Basics 2. padic functions, lfunctions and rfunctions 3. Gauss sums and the padic gamma function 4. padic regulators Appendix Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 This introduction to recent work in padic 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 padic numbers and the padic analog of the complex number field, power series and Newton polygons), the author develops the properties of padic Dirichlet Lseries using padic measures and integration. padic gamma functions are introduced, and their relationship to Lseries is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the padic gamma function is proved using the cohomology of Fermat and ArtinSchreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.
(source: Nielsen Book Data)
Subjects
 Subject
 padic analysis.
Bibliographic information
 Publication date
 1980
 Series
 London Mathematical Society Lecture Note Series ; no. 46
 Note
 Title from publishers bibliographic system (viewed on 26 Apr 2012).
 Note
 Also issued in print format.
 Format
 Mode of access: World Wide Web.
 Available in another form
 Print version: 9780521280600
 ISBN
 9780511526107 (ebook)
 9780521280600 (paperback)