P-adic Analysis : A Short Course on Recent Work Paperback / softback
by Neal Koblitz
Part of the London Mathematical Society Lecture Note Series series
Paperback / softback
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:168 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:28/11/1980
- Category:
- ISBN:9780521280600
Other Formats
- PDF from £38.24
Information
-
Item not Available
- Format:Paperback / softback
- Pages:168 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:28/11/1980
- Category:
- ISBN:9780521280600
