Relations between cusp forms on congruence and noncongruence groups
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- by Gabriel Berger PDF
- Proc. Amer. Math. Soc. 128 (2000), 2869-2874 Request permission
Abstract:
We construct a quadratic relation between cusp forms of weight two on four genus $1$ subgroups of $SL_2(\mathbb {Z})$. Two of the subgroups are congruence and two are noncongruence. We then generalize this to subgroups of $\Gamma (N)$ of index 2.References
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Additional Information
- Gabriel Berger
- Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467
- Address at time of publication: Alphatech, Inc., 50 Mall Rd., Burlington, Massachusetts 01803
- Email: gberger@channel1.com
- Received by editor(s): November 16, 1998
- Published electronically: April 7, 2000
- Additional Notes: The author was supported in part by JSPS grant P94015 and NSA grant 032596.
- Communicated by: David E. Rohrlich
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2869-2874
- MSC (1991): Primary 11F11; Secondary 11F30
- DOI: https://doi.org/10.1090/S0002-9939-00-05476-9
- MathSciNet review: 1695104