On eigenvalues of the Laplacian for Hecke triangle groups. (English) Zbl 0798.11017
Kurokawa, N. (ed.) et al., Zeta functions in geometry. Tokyo: Kinokuniya Company Ltd.. Adv. Stud. Pure Math. 21, 359-408 (1992).
This paper is a condensed version of chapter 1 of D. A. Hejhal [Eigenvalues of the Laplacian for Hecke triangle groups, Mem. Am. Math. Soc. 469 (1992; Zbl 0746.11025)].
At the end of §6 I found a discussion that is not in the book. There the author compares his computational results with those of A. M. Winkler [Cusp forms and Hecke groups; J. Reine Angew. Math. 386, 187-204 (1988; Zbl 0647.10019)].
For the entire collection see [Zbl 0771.00036].
At the end of §6 I found a discussion that is not in the book. There the author compares his computational results with those of A. M. Winkler [Cusp forms and Hecke groups; J. Reine Angew. Math. 386, 187-204 (1988; Zbl 0647.10019)].
For the entire collection see [Zbl 0771.00036].
Reviewer: R.W.Bruggeman (Utrecht)
MSC:
| 11F72 | Spectral theory; trace formulas (e.g., that of Selberg) |
| 11F37 | Forms of half-integer weight; nonholomorphic modular forms |
| 35P05 | General topics in linear spectral theory for PDEs |
| 11F30 | Fourier coefficients of automorphic forms |
| 30F35 | Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) |
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
