P-adic analysis : a short course on recent work /
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 f...
Saved in:
| Online Access: | Electronic book from EBSCO |
|---|---|
| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: | Cambridge [England] ; New York : Cambridge University Press, 1980. |
| Series: | London Mathematical Society lecture note series ;
46. |
| Subjects: |
| Summary: | 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. |
|---|---|
| Physical Description: | 1 online resource (163 pages) |
| Bibliography: | Includes bibliographical references (pages 154-160) and index. |
| ISBN: | 9781107361072 1107361079 9780511526107 0511526105 |
| ISSN: | 0076-0552 |
| Access: | Access limited to authorized users. |