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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	Juli 1972
Genre:	Schulbücher
	Mathematics / MATHEMATICS / General
ISBN:	9780691081120
EAN-Code:	9780691081120
Verlag:	Princeton University Press
Einband:	Kartoniert
Sprache:	English
Serie:	#74 - Annals of Mathematics Studies
Dimensionen:	H 229 mm / B 152 mm / D 7 mm
Gewicht:	181 gr
Seiten:	116
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.