Toric modular forms and nonvanishing of L-functions
| dc.creator | Borisov, Lev A. | |
| dc.creator | Gunnells, Paul E. | |
| dc.date | 1999-10-26 | |
| dc.date | 2000-10-03 | |
| dc.date.accessioned | 2026-07-07T05:31:17Z | |
| dc.date.available | 2026-07-07T05:31:17Z | |
| dc.description | In a previous paper \cite{BorGunn}, we defined the space of toric forms $\TTT(l)$, and showed that it is a finitely generated subring of the holomorphic modular forms of integral weight on the congruence group $Γ_1(l)$. In this article we prove the following theorem: modulo Eisenstein series, the weight two toric forms coincide exactly with the vector space generated by all cusp eigenforms f such that $L(f,1) \not = 0$. The proof uses work of Merel, and involves an explicit computation of the intersection pairing on Manin symbols. | |
| dc.description | 14 pp., 1 figure, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9910141 | |
| dc.identifier | http://arxiv.org/abs/math/9910141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79288 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F11, 11F25, 14M25 | |
| dc.title | Toric modular forms and nonvanishing of L-functions | |
| dc.type | text |