On the Riemann zeta-function and the divisor problem II
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2004-11-18 | |
| dc.date | 2005-03-01 | |
| dc.date.accessioned | 2026-07-07T05:14:27Z | |
| dc.date.available | 2026-07-07T05:14:27Z | |
| dc.description | First part of this paper was published in CEJM (2)(4) (2004), 1-15. It is proved now that $$ \int_0^T|E^*(t)|^5{\rm d}t \ll_εT^{2+ε}. $$ Here $$ E^*(t) = E(t) - 2πΔ^*(t/2π), Δ^*(x) = - Δ(x) +2Δ(2x) - {1\over2}Δ(4x), $$ where $E(t)$ is the error term in the mean square formula for $|ζ(1/2+it)|$ and $Δ(x)$ is the error term in the Dirichlet divisor problem. It is also shown how bounds for moments of $|E^*(t)|$ lead to bounds for moments of $|ζ(1/2+it)|$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411404 | |
| dc.identifier | http://arxiv.org/abs/math/0411404 | |
| dc.identifier | Central European Journal of Mathematics 3(2) (2005), 203-214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73281 | |
| dc.subject | Number Theory | |
| dc.subject | 11N37, 11M06 | |
| dc.title | On the Riemann zeta-function and the divisor problem II | |
| dc.type | text |