Classification of torsion-free genus zero congruence groups
HTML articles powered by AMS MathViewer
- 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
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