On Selberg's small eigenvalue conjecture and residual eigenvalues
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | Journal fur die Reine und Angewandte Mathematik |
Vol/bind | 656 |
Sider (fra-til) | 179-211 |
Antal sider | 32 |
ISSN | 0075-4102 |
Status | Udgivet - 2011 |
ID: 21013293