On Atkin-Swinnerton-Dyer congruence relations
Number Theory
2007-05-23 v3
Abstract
In this paper we exhibit a noncongruence subgroup whose space of weight 3 cusp forms admits a basis satisfying the Atkin-Swinnerton-Dyer congruence relations with two weight 3 newforms for certain congruence subgroups. This gives a modularity interpretation of the motive attached to by A. Scholl and also verifies the Atkin-Swinnerton-Dyer congruence conjecture for this space.
Cite
@article{arxiv.math/0311287,
title = {On Atkin-Swinnerton-Dyer congruence relations},
author = {Wen-Ching Winnie Li and Ling Long and Zifeng Yang},
journal= {arXiv preprint arXiv:math/0311287},
year = {2007}
}
Comments
25 pages