A01=Kenkichi Iwasawa
A01=Kinkichi Iwasawa
Abelian extension
Absolute value
Algebraic closure
Algebraic number
Algebraic number field
Algebraic number theory
Algebraically closed field
Arithmetic function
Author_Kenkichi Iwasawa
Author_Kinkichi Iwasawa
Category=PB
Class field theory
Complex number
Conjecture
Cyclotomic field
Dirichlet character
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existential quantification
Finite group
Integer
L-function
Mellin transform
Meromorphic function
Multiplicative group
P-adic L-function
P-adic number
Power series
Prime number
Quadratic field
Rational number
Real number
Root of unity
Scientific notation
Series (mathematics)
Special case
Subgroup
Theorem
Topology
Product details
- ISBN 9780691081120
- Weight: 170g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jul 1972
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
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.
