Skip to main content

Research Repository

Advanced Search

Non-abelian congruences between special values of L-functions of elliptic curves; the CM case

Bouganis, A.

Non-abelian congruences between special values of L-functions of elliptic curves; the CM case Thumbnail


Authors



Abstract

In this work we prove congruences between special values of L-functions of elliptic curves with CM that seem to play a central role in the analytic side of the non-commutative Iwasawa theory. These congruences are the analog for elliptic curves with CM of those proved by Kato, Ritter and Weiss for the Tate motive. The proof is based on the fact that the critical values of elliptic curves with CM, or what amounts to the same, the critical values of Grössencharacters, can be expressed as values of Hilbert–Eisenstein series at CM points. We believe that our strategy can be generalized to provide congruences for a large class of L-values.

Citation

Bouganis, A. (2011). Non-abelian congruences between special values of L-functions of elliptic curves; the CM case. International Journal of Number Theory, 07(07), 1883-1934. https://doi.org/10.1142/s179304211100468x

Journal Article Type Article
Acceptance Date Feb 14, 2011
Publication Date Nov 1, 2011
Deposit Date Sep 18, 2013
Publicly Available Date Mar 29, 2024
Journal International Journal of Number Theory
Print ISSN 1793-0421
Electronic ISSN 1793-7310
Publisher World Scientific Publishing
Peer Reviewed Peer Reviewed
Volume 07
Issue 07
Pages 1883-1934
DOI https://doi.org/10.1142/s179304211100468x

Files




You might also like



Downloadable Citations