Lectures on P-Adic L-Functions
eBook - PDF

Lectures on P-Adic L-Functions

  1. 112 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Lectures on P-Adic L-Functions

About this book

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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Yes, you can access Lectures on P-Adic L-Functions by Kinkichi Iwasawa,Kenkichi Iwasawa in PDF and/or ePUB format, as well as other popular books in Matemáticas & Teoría de números. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. CONTENTS
  5. PREFACE
  6. §1. Dirichlet’s L-functions
  7. §2. Generalized Bernoulli Numbers
  8. §3. p-Adic L-functions
  9. §4. p-Adic Logarithms and p-Adic Regulators
  10. §5. Calculation of Lp(1; χ)
  11. §6. An Alternate Method
  12. §7. Some Applications
  13. APPENDIX
  14. BIBLIOGRAPHY