Mathematics – Number Theory
Scientific paper
2007-07-16
Mathematics
Number Theory
33pages, Various expository corrections
Scientific paper
We show that Selberg's eigenvalue conjecture concerning small eigenvalues of
the automorphic Laplacian for congruence groups is equivalent to a conjecture
about the non-existence of residual eigenvalues for a perturbed system. We
prove this using a combination of methods from asymptotic perturbation theory
and number theory.
Risager Morten S.
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