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

  • Kartonierter Einband
  • 112 Seiten
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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 1... Weiterlesen
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Beschreibung

Klappentext

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.

Produktinformationen

Titel: Lectures on P-Adic L-Functions. (AM-74), Volume 74
Autor:
EAN: 9780691081120
ISBN: 978-0-691-08112-0
Format: Kartonierter Einband
Herausgeber: University Presses
Genre: Mathematik
Anzahl Seiten: 112
Gewicht: g
Größe: H229mm x B152mm
Jahr: 1972