p-adic Eisenstein-Kronecker series and non-critical values of p-adic Hecke L-function of an imaginary quadratic field when the conductor is divisible by p

JOURNAL OF NUMBER THEORY

卷:135

Article

Hirotsune, Tomoki

关键词: Hecke L-function;    p-adic L-function;    Elliptic curve;    Complex multiplication;    Coleman function;    Eisenstein-Kronecker series;   

DOI  :  10.1016/j.jnt.2013.07.019

来源: Elsevier

【 摘 要 】

Text. We relate non-critical special values of p-adic L-functions associated to algebraic Hecke characters of an imaginary quadratic number field with class number one to p-adic Eisenstein-Kronecker series constructed as the Coleman function, when the conductors of the algebraic Hecke characters are divisible by p. Video. For a video summary of this paper, please click here or visit http://youtu.be/AZemqgfp5pQ. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free