Some remarks on the moments of $|ζ(1/2+it)|$ in short intervals
| dc.creator | Ivic, Aleksandar | |
| dc.date | 2006-11-14 | |
| dc.date.accessioned | 2026-07-07T10:15:46Z | |
| dc.date.available | 2026-07-07T10:15:46Z | |
| dc.description | Some new results on power moments of the integral $$ J_k(t,G) = {1\over\sqrtπG} \int_{-\infty}^\infty |ζ(1/2 + it + iu)|^{2k}{\rm e}^{-(u/G)^2}du \qquad(t \asymp T, T^ε\le G \ll T, k\in\N) $$ are obtained when $k=1$. These results can be used to derive bounds for moments of $|ζ(1/2+it)|$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611427 | |
| dc.identifier | http://arxiv.org/abs/math/0611427 | |
| dc.identifier | Acta Math. Hung. 119(2008), 15-24 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173284 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06, 11N37 | |
| dc.title | Some remarks on the moments of $|ζ(1/2+it)|$ in short intervals | |
| dc.type | text |