On two variable p-adic L-functions and a p-adic class number formula
type: Item
instance of: scholarly article
title: On two variable p-adic L-functions and a p-adic class number formula
zbMATH Open document ID: 0697.12013
author: Kazuhito Kozuka
published in: Tokyo Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Improving on his previous work [Mem. Fac. Sci., Kyushu Univ., Ser. A 40, No.2, 77-90 (1986; Zbl 0664.12009)] the author defines a two variable p- adic L-function interpolating the (properly normalized) values \(L(\psi^{k+j}\chi,k)\), \(1\leq j\leq k\), \(k\in {\mathbb{Z}}\), of the Hecke L- function L(\(\overline{\psi^{k+j}}\chi,s)\), where \(\psi\) is the Grössencharacter of an elliptic curve with complex multiplication by the ring of integers of an imaginary quadratic field K and \(\chi\) is a ray class character in K. After studying the properties of his L- functions the author relates their special values to the class numbers of finite Abelian extensions of K.
reviewed by: B. Z. Moroz
Mathematics Subject Classification ID: 11S40
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11R27
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 4142161
zbMATH Keywords: p-adic regulator
zbMATH Keywords: p-adic L-function
zbMATH Keywords: Hecke L-function
zbMATH Keywords: Grössencharacter
zbMATH Keywords: elliptic curve with complex multiplication
zbMATH Keywords: imaginary quadratic field
zbMATH Keywords: class numbers
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270133549
OpenAlex ID: W2090872117
DOI: 10.3836/TJM/1270133549
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description: scientific article; zbMATH DE number 4142161