p-adic Eisenstein-Kronecker series and non-critical values of p-adic Hecke L-functions of an Imaginary Quadratic Field when the conductor is divisible by p

2013/05/16 by Hirotsune, Tomoki
#11F85 #11G55 #11R42 #14G10 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1305.3693

Abstract

We relate non-critical special values p-adic L-functions associated to algebraic Hecke characters of an imaginary quadratic number field with class number one to p-adic Coleman function called the p-adic Eisenstein-Kronecker series, when the conductors of the algebraic Hecke characters are divisible by p.

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