On moments of $|ζ(1/2+it)|$ in short intervals
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2004-04-16 | |
| dc.date.accessioned | 2026-07-07T07:53:38Z | |
| dc.date.available | 2026-07-07T07:53:38Z | |
| dc.description | Power moments of $$ J_k(t,G) = {1\over\sqrtπG} \int_{-\infty}^\infty |ζ(1/2 + it + iu)|^{2k}{\rm e}^{-(u/G)^2} du \qquad(t \asymp T, T^ε\le G \ll T),$$ where $k$ is a natural number, are investigated. The results that are obtained are used to show how bounds for $\int_0^T|ζ(1/2+it)|^{2k} dt$ may be obtained. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404289 | |
| dc.identifier | http://arxiv.org/abs/math/0404289 | |
| dc.identifier | Ramanujan Math. Soc. LNS 2, The Riemann zeta function and related themes, eds. R. Balasubramanian and K. Srinivas, 2006, 81-97 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126294 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06 | |
| dc.title | On moments of $|ζ(1/2+it)|$ in short intervals | |
| dc.type | text |