On Eigenvalues of the Laplacian for Hecke Triangle Groups

Dennis A. Hejhal

Type: Article

Publication Date: 2018-08-15

Citations: 55

DOI: https://doi.org/10.2969/aspm/02110359

Abstract

The purpose of this Note is to provide a survey of some of the recent experimental work aimed at computing eigenvalues of the Laplacian for a variety of Hecke triangle groups $\mathbf{G}(2 \cos \frac{\pi}{N}) \setminus H$.

Locations

Advanced studies in pure mathematics - View
Project Euclid (Cornell University) - View - PDF

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+ PDF Chat	Hyperbolic triangles without embedded eigenvalues	2018	Luc Hillairet Chris Judge
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Works Cited by This (21)

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+ PDF Chat	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner
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+	Finitely Maximal Fuchsian Groups	1972	David Singerman
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+ PDF Chat	A remark on the multiplicity of the discrete spectrum of congruence groups	1981	Burton Randol
+ PDF Chat	Determinants of Laplacians	1987	Peter Sarnak
+	Dirichlet and neumann spectrum	1988	Andrew M. Winkler
+	Chaos on the pseudosphere	1986	N. L. Balázs A. Voros