Modular forms on noncongruence subgroups and atkin–swinnerton-dyer relations

Authors

Liqun Fang, Louisiana State University
J. William Hoffman, Louisiana State University
Benjamin Linowitz, Dartmouth College
Andrew Rupinski, University of Pennsylvania
Helena Verrill, Louisiana State University

Document Type

Article

Publication Date

1-1-2010

Abstract

We give new examples of noncongruence subgroups Γ ⊂ SL2(ℤ) whose space of weight-3 cusp forms S3(Γ) admits a basis satisfying the Atkin–Swinnerton-Dyer congruence relations with respect to a weight-3 newform for a certain congruence subgroup. © A K Peters, Ltd.

Publication Source (Journal or Book title)

Experimental Mathematics

First Page

27

Recommended Citation

Fang, L., William Hoffman, J., Linowitz, B., Rupinski, A., & Verrill, H. (2010). Modular forms on noncongruence subgroups and atkin–swinnerton-dyer relations. Experimental Mathematics, 19 (1), 27. https://doi.org/10.1080/10586458.2010.10129064