Details

Autor(en) / Beteiligte

• Iwasawa, Kinkichi
• Iwasawa, Kenkichi

Titel

Lectures on P-Adic L-Functions. (AM-74), Volume 74

Ort / Verlag

Princeton, NJ : Princeton University Press

Erscheinungsjahr

[2016]

Link zum Volltext

• De Gruyter E-Books EBA bis 31.12.2026 (ZDB-23-DGG-eba)
• De Gruyter E-Books EBA bis 31.12.2026 (ZDB-23-DGG-eba)

Link zu anderen Inhalten

• Cover

Beschreibungen/Notizen

• 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