Deformations of Maass forms
| dc.creator | Farmer, David W. | |
| dc.creator | Lemurell, Stefan | |
| dc.date | 2003-02-18 | |
| dc.date | 2005-03-14 | |
| dc.date.accessioned | 2026-07-07T04:55:23Z | |
| dc.date.available | 2026-07-07T04:55:23Z | |
| dc.description | We describe numerical calculations which examine the Phillips-Sarnak conjecture concerning the disappearance of cusp forms on a noncompact finite volume Riemann surface $S$ under deformation of the surface. Our calculations indicate that if the Teichmuller space of $S$ is not trivial then each cusp form has a set of deformations under which either the cusp form remains a cusp form, or else it dissolves into a resonance whose constant term is uniformly a factor of $10^{8}$ smaller than a typical Fourier coefficient of the form. We give explicit examples of those deformations in several cases. | |
| dc.description | AMSTeX, 16 pages, 13 figures. Final version, to appear in Math. Comp | |
| dc.identifier | https://arxiv.org/abs/math/0302214 | |
| dc.identifier | http://arxiv.org/abs/math/0302214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66560 | |
| dc.subject | Number Theory | |
| dc.subject | Spectral Theory | |
| dc.subject | 11F03; 11F30 | |
| dc.title | Deformations of Maass forms | |
| dc.type | text |