Lectures on P-Adic L-Functions: 74 (Annals of Mathematics Studies, 74) - Softcover

Iwasawa, Kenkichi

Softcover

ISBN 10: 0691081123 ISBN 13: 9780691081120

Publisher: Princeton University Press, 1972

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Princeton University Press
• Publication date: 1972
• Language: English
• ISBN 10: 0691081123
• ISBN 13: 9780691081120
• Binding: Paperback
• Edition number: 1
• Number of pages: 112