On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z)
| dc.creator | Catto, Sultan | |
| dc.creator | Huntley, Jonathan | |
| dc.creator | Jorgenson, Jay | |
| dc.creator | Tepper, David | |
| dc.date | 1998-11-27 | |
| dc.date.accessioned | 2026-07-07T05:26:59Z | |
| dc.date.available | 2026-07-07T05:26:59Z | |
| dc.description | Let H be the homogeneous space associated to the group PGL_3(R). Let X=Γ/H where Γ=SL_3(Z) and consider the first non-trivial eigenvalue λ_1 of the Laplacian on L^2(X). Using geometric considerations, we prove the inequality λ_1<pi^2/10. Since the continuous spectrum is represented by the band [1,\infty), our bound on λ_1 can be viewed as an analogue of Selberg's eigenvalue conjecture for quotients of the hyperbolic half space. | |
| dc.identifier | https://arxiv.org/abs/math/9811158 | |
| dc.identifier | http://arxiv.org/abs/math/9811158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77764 | |
| dc.subject | Spectral Theory | |
| dc.title | On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z) | |
| dc.type | text |