On sums of squares of the Riemann zeta-function on the critical line
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2003-11-29 | |
| dc.date.accessioned | 2026-07-07T05:03:24Z | |
| dc.date.available | 2026-07-07T05:03:24Z | |
| dc.description | A discussion involving the evaluation of the sum $\sum_{0<γ\le T} |ζ(1/2+iγ)|^2$ is presented, where $γ$ denotes imaginary parts of complex zeros of the Riemann zeta-function $ζ(s)$. Three theorems involving certain integrals related to this sum are proved, and the sum is unconditionally shown to be $\ll T\log^2T\log\log T$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312008 | |
| dc.identifier | http://arxiv.org/abs/math/0312008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69405 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06 | |
| dc.title | On sums of squares of the Riemann zeta-function on the critical line | |
| dc.type | text |