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Proceedings of the American Mathematical Society
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Classification of torsion-free genus zero congruence groups

Author(s): Abdellah Sebbar
Journal: Proc. Amer. Math. Soc. 129 (2001), 2517-2527.
MSC (2000): Primary 20H05
Posted: April 17, 2001
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Abstract | References | Similar articles | Additional information

Abstract:

We study and classify all torsion-free genus zero congruence subgroups of the modular group.


References:

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Larcher, H. The cusp amplitudes of the congruence subgroups of the classical modular group. II. Illinois J. Math. 28 (1984), 312-338. MR 85i:11034

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McKay, J., Sebbar, A. Fuchsian groups, Schwarzians, and theta functions, C. R. Acad. Sci. Paris, t.327, Serie I, pp.343-348, 1998. MR 2000a:11059

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McKay, J., Sebbar, Fuchsian groups, automorphic functions and Schwarzians, Math. Ann. 318 (2000), 255-275. CMP 2001:04

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Rankin, Robert A. Modular forms and functions. Cambridge University Press, 1977. MR 58:16518

5.
Sebbar A. Conjugacy classes of torsion-free genus zero congruence subgroups of ${\mbox{PSL}_2({\mathbb R})}$, To appear in Duke Math. J.

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Shimura, G. Introduction to the arithmetic theory of automorphic functions. Princeton University Press, Princeton, 1971. MR 47:3318


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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

DOI: 10.1090/S0002-9939-01-06176-7
PII: S 0002-9939(01)06176-7
Keywords: Automorphic forms, congruence subgroups, genus 0, torsion-free
Received by editor(s): November 20, 1999
Posted: April 17, 2001
Communicated by: Dennis A. Hejhal
Copyright of article: Copyright 2001, American Mathematical Society


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