Twisted Hecke L-values and period polynomials
| dc.creator | Fukuhara, Shinji | |
| dc.creator | Yang, Yifan | |
| dc.date | 2009-03-27 | |
| dc.date.accessioned | 2026-07-07T12:57:31Z | |
| dc.date.available | 2026-07-07T12:57:31Z | |
| dc.description | Let $f_1,...,f_d$ be an orthogonal basis for the space of cusp forms of even weight $2k$ on $Γ_0(N)$. Let $L(f_i,s)$ and $L(f_i,χ,s)$ denote the $L$-function of $f_i$ and its twist by a Dirichlet character $χ$, respectively. In this note, we obtain a ``trace formula'' for the values $L(f_i,χ,m)\overline{L(f_i,n)}$ at integers $m$ and $n$ with $0<m,n<2k$ and proper parity. In the case N=1 or N=2, the formula gives us a convenient way to evaluate precisly the value of the ratio $L(f,χ,m)/L(f,n)$ for a Hecke eigenform $f$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0903.4785 | |
| dc.identifier | http://arxiv.org/abs/0903.4785 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224955 | |
| dc.subject | Number Theory | |
| dc.subject | 11F67;11F11 | |
| dc.title | Twisted Hecke L-values and period polynomials | |
| dc.type | text |