The Mellin transform of the square of Riemann's zeta-function
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2004-11-02 | |
| dc.date | 2005-01-14 | |
| dc.date.accessioned | 2026-07-07T06:19:38Z | |
| dc.date.available | 2026-07-07T06:19:38Z | |
| dc.description | Let ${\cal Z}_1(s) = \int_1^\infty |ζ({1\over2}+ix)|^2x^{-s}{\rm d}x (σ= \Re s > 1)$. A result concerning analytic continuation of ${\cal Z}_1(s)$ to $\bf C$ is proved, and also a result relating the order of ${\cal Z}_1(σ+ it) (1/2 \le σ\le 1, t\ge t_0)$ to the order of ${\cal Z}_1({1\over2}+it)$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411040 | |
| dc.identifier | http://arxiv.org/abs/math/0411040 | |
| dc.identifier | International J. Number Theory 1(2005), 65-73. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95097 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06 | |
| dc.title | The Mellin transform of the square of Riemann's zeta-function | |
| dc.type | text |