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Lectures on P-Adic L-Functions. (AM-74), Volume 74 (Annals of Mathematics Studies, 74) PDF

115 Pages·1972·4.5 MB·English
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by Kinkichi Iwasawa| 1972| 115 pages| 4.5| English

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:PDF
Price:FREE
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