On Selberg's small eigenvalue conjecture and residual eigenvalues

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dc.creatorRisager, Morten S.
dc.date2007-07-16
dc.date2008-11-07
dc.date.accessioned2026-07-07T10:15:59Z
dc.date.available2026-07-07T10:15:59Z
dc.descriptionWe 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.
dc.description33pages, Various expository corrections
dc.identifierhttps://arxiv.org/abs/0707.2332
dc.identifierhttp://arxiv.org/abs/0707.2332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173360
dc.subjectNumber Theory
dc.subjectSpectral Theory
dc.subject11F72; 11M36
dc.titleOn Selberg's small eigenvalue conjecture and residual eigenvalues
dc.typetext

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