Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular Group over a Totally Real Field
| dc.creator | Truelsen, Jimi Lee | |
| dc.date | 2007-06-28 | |
| dc.date | 2008-11-18 | |
| dc.date.accessioned | 2026-07-07T10:18:30Z | |
| dc.date.available | 2026-07-07T10:18:30Z | |
| dc.description | W. Luo and P. Sarnak have proved the quantum unique ergodicity property for Eisenstein series on $\rm{PSL}(2,\mathbb{Z}) \backslash H$. We extend their result to Eisenstein series on $\rm{PSL}(2,O) \backslash H^n$, where $O$ is the ring of integers in a totally real field of degree $n$ over $Q$ with narrow class number one, using the Eisenstein series considered by I. Efrat. We also give an expository treatment of the theory of Hecke operators on non-holomorphic Hilbert modular forms. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/0706.4239 | |
| dc.identifier | http://arxiv.org/abs/0706.4239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174207 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06; 81Q50; 11F41 | |
| dc.title | Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular Group over a Totally Real Field | |
| dc.type | text |