An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.
Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields.
| ISBN: | 9780691081120 |
| Publication date: | 16th July 1972 |
| Author: | Kenkichi Iwasawa |
| Publisher: | Princeton University Press |
| Format: | Paperback |
| Pagination: | 106 pages |
| Series: | Annals of Mathematics Studies |
| Genres: |
Number theory |
An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties.
Lectures on P-Adic L-Functions features in the following genres: Number theory
Paperback. Not Available.
Lectures on P-Adic L-Functions was written by Kenkichi Iwasawa and published by Princeton University Press
Lectures on P-Adic L-Functions has 106 pages
Yes it is part of Annals of Mathematics Studies series