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Item Details
Title: LECTURES ON P-ADIC L-FUNCTIONS. (AM-74), VOLUME 74
By: Kinkichi Iwasawa
Format: Paperback

List price: £58.00
Our price: £46.40
Discount:
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ISBN 10: 0691081123
ISBN 13: 9780691081120
Availability: Usually dispatched within 1-3 weeks.
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Publisher: PRINCETON UNIVERSITY PRESS
Pub. date: 1 July, 1972
Series: Annals of Mathematics Studies 74
Pages: 112
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.
Publication: US
Imprint: Princeton University Press
Returns: Returnable
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