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...

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Bibliographische Detailangaben

1. Verfasser:	Iwasawa, Kinkichi (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Princeton, NJ Princeton University Press 1972
Schriftenreihe:	Annals of Mathematics Studies number 74
Schlagworte:	Algebraic number theory L-functions p-adische L-Funktion Dirichletsche L-Funktion
Online-Zugang:	Volltext
Zusammenfassung:	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
Beschreibung:	Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016)
Beschreibung:	1 online resource
ISBN:	9781400881703
DOI:	10.1515/9781400881703