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تسجيل مستخدم جديدOn Selbergs small eigenvalue conjecture and residual eigenvalues
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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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