On Some Weighted Average Values of L-functions
| dc.creator | Shparlinski, Igor | |
| dc.date | 2008-02-18 | |
| dc.date | 2008-07-26 | |
| dc.date.accessioned | 2026-07-07T09:52:42Z | |
| dc.date.available | 2026-07-07T09:52:42Z | |
| dc.description | Let $q\ge 2$ and $N\ge 1$ be integers. W. Zhang (2008) has shown that for any fixed $ε> 0$, and $q^ε \le N \le q^{1/2 -ε}$, $$ \sum_{χ\ne χ_0} |\sum_{n=1}^N χ(n)|^2 |L(1, χ)|^2 = (1 + o(1)) α_q q N $$ where the sum is take over all nonprincipal characters $χ$ modulo $q$, $L(s, χ)$ is the $L$-functions $L(1, χ)$ corresponding to $χ$ and $α_q = q^{o(1)}$ is some explicit function of $q$. Here we show that the same formula holds in the range $q^ε \le N \le q^{1 -ε}$. | |
| dc.description | Bull. Aust. Math. Soc. (to appear) | |
| dc.identifier | https://arxiv.org/abs/0802.2378 | |
| dc.identifier | http://arxiv.org/abs/0802.2378 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165687 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06 | |
| dc.title | On Some Weighted Average Values of L-functions | |
| dc.type | text |