TY  - BOOK
AU  - Koblitz,Neal
TI  - P-adic Analysis: A Short Course on Recent Work 
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511526107 (ebook)
AV  - QA241  .K673
U1  - 512/.74 19
PY  - 1980///
CY  - Cambridge
PB  - Cambridge University Press
KW  - p-adic analysis
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9780511526107
ER  -