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An upper bound for λ1 for Γ(q) and Γ0(q)
Published online by Cambridge University Press: 20 January 2009
Abstract
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
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- Copyright © Edinburgh Mathematical Society 1990