| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9496517 | Journal of Number Theory | 2005 | 32 Pages |
Abstract
In this paper, we exhibit a noncongruence subgroup Î whose space of weight 3 cusp forms S3(Î) 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 S3(Î) by Scholl and also verifies the Atkin-Swinnerton-Dyer congruence conjecture for this space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wen-Ching Winnie Li, Ling Long, Zifeng Yang,