


Lectures on PAdic LFunctions. (AM74) 
An especially timely work, the book is an introduction to the theory of padic Lfunctions originated by Kubota and Leopoldt in 1964 as padic analogues of the classical Lfunctions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's Lfunctions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines padic Lfunctions, proves their existence and uniqueness, and treats padic logarithms and padic regulators. He proves a formula of Leopoldt for the values of padic Lfunctions 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. Series:
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