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

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Iwasawa, Kinkichi,
• MitwirkendeR: Iwasawa, Kenkichi,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1972
• 出版年: 2016
• 語言: English
• 叢編: Annals of Mathematics Studies ; 74
• 實物描述: 1 online resource (112 p.)
• Other title: Frontmatter --; PREFACE --; CONTENTS --; §1. DIRICHLET'S L-FUNCTIONS --; §2. GENERALIZED BERNOULLI NUMBERS --; §3. p-ADIC L-FUNCTIONS --; §4. p-ADIC LOGARITHMS AND p-ADIC REGULATORS --; §5. CALCULATION OF Lp (1; χ) --; §6. AN ALTERNATE METHOD --; §7. SOME APPLICATIONS --; APPENDIX --; BIBLIOGRAPHY
• 總結: 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.
• 格式: Mode of access: Internet via World Wide Web.
• ISBN: 9781400881703; 9783110494914; 9783110442496
• DOI: 10.1515/9781400881703
• 訪問: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Kinkichi Iwasawa.

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...