LEADER 02918nam 2200601 450 001 9910827870103321 005 20170918214835.0 010 $a1-4704-0895-3 035 $a(CKB)3360000000464653 035 $a(EBL)3113902 035 $a(SSID)ssj0000888897 035 $a(PQKBManifestationID)11465744 035 $a(PQKBTitleCode)TC0000888897 035 $a(PQKBWorkID)10876171 035 $a(PQKB)10744390 035 $a(MiAaPQ)EBC3113902 035 $a(RPAM)4394529 035 $a(PPN)195413520 035 $a(EXLCZ)993360000000464653 100 $a20140903h19921992 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEigenvalues of the Laplacian for Hecke triangle groups /$fDennis A. Hejhal 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1992. 210 4$dİ1992 215 $a1 online resource (177 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 97, Number 469 300 $a"May 1992, Volume 97, Number 469 (end of volume)"--Cover. 311 $a0-8218-2529-1 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""1. Introduction""""2. The basic procedure""; ""3. Some informal remarks concerning implementation of the basic procedure""; ""4. Further remarks""; ""5. The even eigenvalues less than 50""; ""6. The odd eigenvalues less than 50""; ""7. Even eigenvalues around R = 125""; ""8. Even eigenvalues around R = 250""; ""9. Even eigenvalues around R = 500""; ""10. Gaining greater accuracy""; ""11. Concluding remarks""; ""References""; ""Appendix B"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 97, Number 469. 606 $aSelberg trace formula 606 $aAutomorphic functions 606 $aEigenvalues 606 $aLaplacian operator 615 0$aSelberg trace formula. 615 0$aAutomorphic functions. 615 0$aEigenvalues. 615 0$aLaplacian operator. 676 $a512/.7 700 $aHejhal$b Dennis A.$059044 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827870103321 996 $aEigenvalues of the Laplacian for Hecke triangle groups$93922482 997 $aUNINA