Hecke Operators on Drinfeld Cusp Forms
| dc.creator | Li, Wen-Ching Winnie | |
| dc.creator | Meemark, Yotsanan | |
| dc.date | 2007-02-25 | |
| dc.date | 2008-04-16 | |
| dc.date.accessioned | 2026-07-07T09:32:46Z | |
| dc.date.available | 2026-07-07T09:32:46Z | |
| dc.description | In this paper, we study the Drinfeld cusp forms for $Γ_1(T)$ and $Γ(T)$ using Teitelbaum's interpretation as harmonic cocycles. We obtain explicit eigenvalues of Hecke operators associated to degree one prime ideals acting on the cusp forms for $Γ_1(T)$ of small weights and conclude that these Hecke operators are simultaneously diagonalizable. We also show that the Hecke operators are not diagonalizable in general for $Γ_1(T)$ of large weights, and not for $Γ(T)$ even of small weights. The Hecke eigenvalues on cusp forms for $Γ(T)$ with small weights are determined and the eigenspaces characterized. | |
| dc.description | 28 pages To appear in JNT | |
| dc.identifier | https://arxiv.org/abs/math/0702742 | |
| dc.identifier | http://arxiv.org/abs/math/0702742 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158899 | |
| dc.subject | Number Theory | |
| dc.subject | 11F52; 20E08 | |
| dc.title | Hecke Operators on Drinfeld Cusp Forms | |
| dc.type | text |