Lectures on P-adic L-functions

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  • Lectures on P-adic L-functions Book Detail

  • Author : Kenkichi Iwasawa
  • Release Date : 1972-07-21
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 120
  • ISBN 13 : 9780691081120
  • File Size : 48,48 MB

Lectures on P-adic L-functions by Kenkichi Iwasawa PDF Summary

Book Description: 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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Lectures on P-adic L-functions

Lectures on P-adic L-functions

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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

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Aimed at presenting nontechnical explanations, all the essays in this collection of papers from the 1989 LMS Durham Symposium on L-functions are the contributio