On mean values of some zeta-functions in the critical strip
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2003-11-23 | |
| dc.date.accessioned | 2026-07-07T05:03:11Z | |
| dc.date.available | 2026-07-07T05:03:11Z | |
| dc.description | For a fixed integer $k\ge 3$ and fixed $1/2 < σ> 1$ we consider $$ \int_1^T |ζ(σ+ it)|^{2k}dt = \sum_{n=1}^\infty d_k^2(n)n^{-2σ}T + R(k,σ;T), $$ where $R(k,σ;T) = o(T) (T\to\infty)$ is the error term in the above asymptotic formula. Hitherto the sharpest bounds for $R(k,σ;T)$ are given for certain ranges of $σ$. We also obtain new mean value results for the zeta-functions of holomorphic cusp forms and the Rankin-Selberg series. | |
| dc.description | To the memory of R.A. Rankin, 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311403 | |
| dc.identifier | http://arxiv.org/abs/math/0311403 | |
| dc.identifier | Journal de Théorie des Nombres de Bordeaux 15(2003), 163-178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69312 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06; 11F30; 11F66 | |
| dc.title | On mean values of some zeta-functions in the critical strip | |
| dc.type | text |