Explicit Computation of Cusp forms via Hecke Action on Cohomology and its Complexity
| dc.creator | Rasmussen, Jonas B. | |
| dc.date | 2009-05-18 | |
| dc.date.accessioned | 2026-07-07T13:16:02Z | |
| dc.date.available | 2026-07-07T13:16:02Z | |
| dc.description | In the literature, the standard approach to finding bases of spaces of modular forms is via modular symbols and the homology of modular curves. By using the Eichler-Shimura isomorphism, a work by Wang shows how one can use a cohomological viewpoint to determine bases of spaces of cusp forms on $Γ_0(N)$ of weight $k \geq 2$ and character $χ$. It is interesting to look at the complexity of this alternative approach, and we do this for an explicit implementation of the algorithm suggested by Wang. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0905.2887 | |
| dc.identifier | http://arxiv.org/abs/0905.2887 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230661 | |
| dc.subject | Number Theory | |
| dc.subject | 11Y16; 11F11 | |
| dc.title | Explicit Computation of Cusp forms via Hecke Action on Cohomology and its Complexity | |
| dc.type | text |