The M?bius-Wall congruences for p-adic L-functions of CM elliptic curves

摘要

In this paper we prove, under a technical assumption, the so-called M?bius-Wall congruences between abelian p-adic L-functions of CM elliptic curves. These congruences are the analogue of those shown by Ritter and Weiss for the Tate motive, and offer strong evidences in favor of the existence of non-abelian p-adic L-functions for CM elliptic curves.