Eigenvalues of the Laplacian for Hecke triangle groups / / Dennis A. Hejhal

• Record Nr.: UNINA9910480745103321
• Autore: Hejhal Dennis A.
• Pubbl/distr/stampa: Providence, Rhode Island, United States : , : American Mathematical Society, , 1992; ©1992
• ISBN: 1-4704-0895-3
• Descrizione fisica: 1 online resource (177 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 97, Number 469
• Disciplina: 512/.7
• Soggetti: Selberg trace formula; Automorphic functions; Eigenvalues; Laplacian operator; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "May 1992, Volume 97, Number 469 (end of volume)"--Cover.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""