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On Selbergs small eigenvalue conjecture and residual eigenvalues

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 نشر من قبل Morten S. Risager
 تاريخ النشر 2008
  مجال البحث
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 تأليف Morten S. Risager




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We show that Selbergs 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.



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