On two variable p-adic L-functions and a p-adic class number formula
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.
elliptic curve with complex multiplication
scientific article; zbMATH DE number 4142161