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On the non-vanishing of Poincaré series

Published online by Cambridge University Press:  20 January 2009

C. J. Mozzochi
C. J. Mozzochi
Affiliation:
School of MathematicsInstitute for Advanced StudyPrinceton, NJ 08540
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R. A. Rankin [2] and J. Lehner [1] considered the non-vanishing of Poincaré series for the classical modular matrix group and for an arbitrary fuchsian group, respectively.

In this paper we consider the non-vanishing of Poincaré series for the congruence group

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 1 , February 1989 , pp. 131 - 137
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

REFERENCES

1.Lehner, J., On the non-vanishing of Poincaré series, Proc. Edinburgh Math. Soc. 23 (1980), 225–228.CrossRefGoogle Scholar
2.Rankin, R. A., The vanishing of Poincaré series, Proc. Edinburgh Math. Soc. 23 (1980), 151–161.Google Scholar
3.Rankin, R. A., Modular Forms and Functions (Cambridge, 1977).Google Scholar
4.Weil, A., On some exponential sums, Proc. Acad. Sci. U.S.A. 34 (1948), 204–207.Google Scholar
5.Watson, G. N., A Treatise on the Theory of Bessel Functions (Cambridge, 1922).Google Scholar