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About Lectures on P-Adic L-Functions. (AM-74), Volume 74 (Annals of Mathematics Studies, 74)
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.
Detailed Information
Author: | Kinkichi Iwasawa |
---|---|
Publication Year: | 1972 |
ISBN: | 9780691081120 |
Pages: | 115 |
Language: | English |
File Size: | 4.5 |
Format: | |
Price: | FREE |
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