02922nam 2200601 450 991048074510332120170918214835.01-4704-0895-3(CKB)3360000000464653(EBL)3113902(SSID)ssj0000888897(PQKBManifestationID)11465744(PQKBTitleCode)TC0000888897(PQKBWorkID)10876171(PQKB)10744390(MiAaPQ)EBC3113902(PPN)195413520(EXLCZ)99336000000046465320140903h19921992 uy 0engur|n|---|||||txtccrEigenvalues of the Laplacian for Hecke triangle groups /Dennis A. HejhalProvidence, Rhode Island, United States :American Mathematical Society,1992.©19921 online resource (177 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 97, Number 469"May 1992, Volume 97, Number 469 (end of volume)"--Cover.0-8218-2529-1 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 97, Number 469.Selberg trace formulaAutomorphic functionsEigenvaluesLaplacian operatorElectronic books.Selberg trace formula.Automorphic functions.Eigenvalues.Laplacian operator.512/.7Hejhal Dennis A.59044MiAaPQMiAaPQMiAaPQBOOK9910480745103321Eigenvalues of the Laplacian for Hecke triangle groups2172932UNINA