Number Theory

Download E-books Lectures on P-Adic L-Functions. (AM-74) (Annals of Mathematics Studies) PDF

An in particular well timed paintings, the publication is an creation to the speculation of p-adic L-functions originated by way of Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.

Professor Iwasawa stories the classical effects on Dirichlet's L-functions and sketches an explanation for a few of them. subsequent he defines generalized Bernoulli numbers and discusses a few of their primary homes. carrying on with, he defines p-adic L-functions, proves their lifestyles and area of expertise, and treats p-adic logarithms and p-adic regulators. He proves a formulation of Leopoldt for the values of p-adic L-functions at s=1. The formulation was once introduced in 1964, yet an explanation hasn't ever earlier than been released. eventually, he discusses a few functions, in particular the powerful courting with cyclotomic fields.

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