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Laddar... Lectures on P-Adic L-Functionsav Kenkichi Iwasawa
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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. Inga biblioteksbeskrivningar kunde hittas. |
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Google Books — Laddar... GenrerMelvil Decimal System (DDC)512.74Natural sciences and mathematics Mathematics Algebra Number theory Algebraic Number TheoryKlassifikation enligt LCBetygMedelbetyg: Inga betyg.Är det här du? |