Eigenfunctions on the Finite Poincaré Plane
| dc.creator | Kuang, Jinghua | |
| dc.date | 1994-11-29 | |
| dc.date.accessioned | 2026-07-07T09:15:12Z | |
| dc.date.available | 2026-07-07T09:15:12Z | |
| dc.description | Let $F$ be a finite field of odd number of elements. Let $F(\sqrtδ)$ be its quadratic extension. $F(\sqrtδ)-F$ is the so-called finite Poincare plane. This paper relates the bases of eigenfunctions constructed by Evans and by Kuang. The finite Poincare plane can be viewed as a Ramanujan graph. This paper also provides evidence for Terras' conjecture regarding the asymptotic distribution of the eigenvalus of the adjacency matrices. | |
| dc.identifier | https://arxiv.org/abs/math/9411217 | |
| dc.identifier | http://arxiv.org/abs/math/9411217 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152940 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.title | Eigenfunctions on the Finite Poincaré Plane | |
| dc.type | text |