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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Relations between cusp forms on congruence and noncongruence groups
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by Gabriel Berger
Proc. Amer. Math. Soc. 128 (2000), 2869-2874
DOI: https://doi.org/10.1090/S0002-9939-00-05476-9
Published electronically: April 7, 2000

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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Bibliographic 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