Lectures on P–Adic L–Functions
Book Details
Format
Paperback / Softback
Book Series
Annals of Mathematics Studies
ISBN-10
0691081123
ISBN-13
9780691081120
Publisher
Princeton University Press
Imprint
Princeton University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 21st, 1972
Print length
112 Pages
Weight
170 grams
Product Classification:
Mathematics
Ksh 10,800.00
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These are notes of lectures given at Princeton University during the fall semester of 1969. The notes present an introduction to p-adic L-functions originated in Kubota-Leopoldt {10} as p-adic analogues of classical L-functions of Dirichlet.
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.
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