The spectrum of Fermat curves

DOI10.1007/BF01895418zbMath0751.11030MaRDI QIDQ1190143

Ralph S. Phillips, Peter C. Sarnak

Publication date: 27 September 1992

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58110

zbMATH Keywords

spectrumhyperbolic LaplacianFermat curvecomputer calculationslevel curvesdistribution of eigenvaluesexceptional eigenvalues

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special algebraic curves and curves of low genus (14H45) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (16)

Cusp forms for character varieties ⋮ Residual equidistribution of modular symbols and cohomology classes for quotients of hyperbolic 𝑛-space ⋮ Zeta functions and periodic orbit theory: A review ⋮ Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze'ev Rudnick) ⋮ The Chevalley-Weil formula for orbifold curves ⋮ The unbounded denominators conjecture for the noncongruence subgroups of index 7 ⋮ Cusp forms of weight 1 associated to Fermat curves ⋮ On the concept of level for subgroups of \(\text{SL}_2\) over arithmetic rings ⋮ Perturbation Theory for the Laplacian on Automorphic Functions ⋮ The rational points of a definable set ⋮ Hyperbolic lattice-point counting and modular symbols ⋮ On Selberg's small eigenvalue conjecture and residual eigenvalues ⋮ Scattering theory for twisted automorphic functions ⋮ Limit multiplicities for \({\text{SL}}_2(\mathcal{O}_F)\) in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})\) ⋮ Congruence properties of induced representations and their applications ⋮ LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND

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