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An upper bound for λ1 for Γ(q) and Γ0(q)

Published online by Cambridge University Press:  20 January 2009

C. J. Mozzochi
C. J. Mozzochi
Affiliation:
P.O. Box 1424, Princeton, NJ 08542, USA
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Abstract

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Under the assumption of the Selberg conjecture I establish by means of the Selberg trace formula the following:

Theorem. Let Γ denote Γ(q) or Γ0(q), q square-free. Let Δq denote the Laplace operator on L2(Γ\H), and let Σq denote its discrete spectrum. Then there exists an absolute positive constant A such that for q≧A

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 2 , June 1990 , pp. 241 - 250
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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