On Selberg's small eigenvalue conjecture and residual eigenvalues
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Publication:5198594
DOI10.1515/CRELLE.2011.050zbMath1237.11024arXiv0707.2332WikidataQ122928627 ScholiaQ122928627MaRDI QIDQ5198594
Publication date: 8 August 2011
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.2332
Perturbation theory of linear operators (47A55) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
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Cites Work
- On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
- Modular forms of varying weight. II
- Geodesics in homology classes
- Asymptotics for closed geodesics in a homology class, the finite volume case
- Nonvanishing of \(L\)-functions for \(\mathrm{GL}(2)\)
- The spectrum of Fermat curves
- A remark on the discrete spectrum of the automorphic Laplacian for a generalized cycloidal subgroup of a general Fuchsian group
- Cusp forms for character varieties
- Disappearance of cusp forms in special families
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- On the asymptotic behavior of counting functions associated to degenerating hyperbolic Riemann surfaces
- Newforms and functional equations
- The subconvexity problem for Artin \(L\)-functions
- Modular symbols have a normal distribution
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- On Selberg's eigenvalue conjecture
- Hecke operators on \(\Gamma_0(m)\)
- Equidistribution of geodesics on homology classes and analogues for free groups
- Fourier coefficients of Eisenstein series on non-congruence subgroups
- Small eigenvalues of the Laplace operator on compact Riemann surfaces
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Nonvanishing of \(L\)-values and the Weyl law
- Spectral theory of Laplacians for Hecke groups with primitive character
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