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

Autor Kinkichi Iwasawa
en Limba Engleză Paperback – 16 iul 1972
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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Specificații

ISBN-13: 9780691081120
ISBN-10: 0691081123
Pagini: 112
Ilustrații: 1
Dimensiuni: 165 x 225 x 8 mm
Greutate: 0.2 kg
Editura: Princeton University Press
Locul publicării:Princeton, United States