Eigenvalues of the Laplacian for Hecke triangle groups
Author(s)
Bibliographic Information
Eigenvalues of the Laplacian for Hecke triangle groups
（Memoirs of the American Mathematical Society, no. 469）
American Mathematical Society, 1992
- Other Title
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Hecke triangle groups
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Note
"May 1992, volume 97, number 469 (end of volume)" -- T.p
Includes bibliographical references
Description and Table of Contents
Description
This work is concerned with computational aspects of the Selberg trace formalism. In this area, computing the discrete spectrum of the non-Euclidean Laplacian is especially important. Hecke triangle groups represent one of the simplest possible cofinite settings for this type of problem. In addition to considering the usual type of eigenfunction, the author discusses an updated analysis of pseudo cusp forms and their residual effects. The actual computer code, run on a Cray supercomputer, is included in the appendices. Possibilities for further work, both theoretical and computational are examined.
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