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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Classification of torsion-free genus zero congruence groups
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by Abdellah Sebbar PDF
Proc. Amer. Math. Soc. 129 (2001), 2517-2527 Request permission

Abstract:

We study and classify all torsion-free genus zero congruence subgroups of the modular group.
References
  • H. Larcher, The cusp amplitudes of the congruence subgroups of the classical modular group. II, Illinois J. Math. 28 (1984), no. 2, 312–338. MR 740621, DOI 10.1215/ijm/1256065279
  • John McKay and Abdellah Sebbar, Fuchsian groups, Schwarzians, and theta functions, C. R. Acad. Sci. Paris Sér. I Math. 327 (1998), no. 4, 343–348 (English, with English and French summaries). MR 1650026, DOI 10.1016/S0764-4442(99)80045-7
  • McKay, J., Sebbar, Fuchsian groups, automorphic functions and Schwarzians, Math. Ann. 318 (2000), 255–275.
  • Robert A. Rankin, Modular forms and functions, Cambridge University Press, Cambridge-New York-Melbourne, 1977. MR 0498390, DOI 10.1017/CBO9780511566035
  • Sebbar A. Conjugacy classes of torsion–free genus zero congruence subgroups of $\operatorname {PSL}$, To appear in Duke Math. J.
  • Goro Shimura, Introduction to the arithmetic theory of automorphic functions, Kanô Memorial Lectures, No. 1, Iwanami Shoten Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Publications of the Mathematical Society of Japan, No. 11. MR 0314766
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Additional Information
  • Abdellah Sebbar
  • Affiliation: Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5
  • Email: sebbar@mathstat.uottawa.ca
  • Received by editor(s): November 20, 1999
  • Published electronically: April 17, 2001
  • Communicated by: Dennis A. Hejhal
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2517-2527
  • MSC (2000): Primary 20H05
  • DOI: https://doi.org/10.1090/S0002-9939-01-06176-7
  • MathSciNet review: 1838372