Eigenvalues of the Laplacian for Hecke Triangle Groups.

Intro -- Table of Contents -- 0. Foreword -- I. Eigenvalues of the Laplacian for Hecke Triangle Groups -- 1. Introduction and preliminary remarks -- 2. The procedure in a nutshell -- 3. Some theoretical difficulties -- 4. Coefficient relations for N = 4 and 6 -- 5. "Odd" eigenvalues for N = 4, 5, 6, 7 -- 6. "Even" eigenvalues for N = 4, 5, 6, 7 -- 7. Some examples -- 8. Some remarks about pseudo cusp forms -- 9. Concluding remarks -- References -- Appendix A -- II. (Reprint of) Eigenvalues of the Laplacian for PSL(2,Z): Some New Results and Computational Techniques -- 1. Introduction -- 2. The basic procedure -- 3. Some informal remarks concerning implementation of the basic procedure -- 4. Further remarks -- 5. The even eigenvalues less than 50 -- 6. The odd eigenvalues less than 50 -- 7. Even eigenvalues around R = 125 -- 8. Even eigenvalues around R = 250 -- 9. Even eigenvalues around R = 500 -- 10. Gaining greater accuracy -- 11. Concluding remarks -- References -- Appendix B.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.