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The Möbius–Wall congruences for p-adic L-functions of CM elliptic curves

Published online by Cambridge University Press:  11 November 2013

THANASIS BOUGANIS
THANASIS BOUGANIS*
Affiliation:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany.
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Abstract

In this paper we prove, under a technical assumption, the so-called “Möbius–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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 156 , Issue 1 , January 2014 , pp. 183 - 192
Copyright
Copyright © Cambridge Philosophical Society 2013 

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References

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