Explicit Computation of Cusp forms via Hecke Action on Cohomology and its Complexity

Autor:	Rasmussen, Jonas B.
Rok vydání:	2009
Předmět:	Mathematics - Number Theory 11Y16 11F11
Druh dokumentu:	Working Paper
Popis:	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 $\Gamma_0(N)$ of weight $k \geq 2$ and character $\chi$. 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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0905.2887 Zobrazit plný text záznamu View this record from Arxiv