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

Bouganis, A.

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.

Citation

Bouganis, A. (2014). The Möbius–Wall congruences for p-adic L-functions of CM elliptic curves. Mathematical Proceedings of the Cambridge Philosophical Society, 156(01), 183-192. https://doi.org/10.1017/s0305004113000625

• Journal Article Type: Article
• Online Publication Date: Nov 11, 2013
• Publication Date: Jan 1, 2014
• Deposit Date: Oct 4, 2013
• Publicly Available Date: Jun 3, 2014
• Journal: Mathematical Proceedings of the Cambridge Philosophical Society
• Print ISSN: 0305-0041
• Electronic ISSN: 1469-8064
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 156
• Issue: 01
• Pages: 183-192
• DOI: https://doi.org/10.1017/s0305004113000625
• Public URL: https://durham-repository.worktribe.com/output/1476709