The modified Mellin transform of powers of the zeta-function
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2005-02-01 | |
| dc.date.accessioned | 2026-07-07T05:16:34Z | |
| dc.date.available | 2026-07-07T05:16:34Z | |
| dc.description | The modified Mellin transform ${\cal Z}_k(s) = \int_1^\infty |ζ(1/2+ix)|^{2k}x^{-s}{\rm d} x (k = 1,2,...)$ is investigated. Analytic continuation and mean square estimates of ${\cal Z}_k(s) $ are discussed, as well as connections with power moments of $|ζ(1/2+ix)|$, with the special emphasis on the cases $k = 1,2$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502011 | |
| dc.identifier | http://arxiv.org/abs/math/0502011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74034 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06 | |
| dc.title | The modified Mellin transform of powers of the zeta-function | |
| dc.type | text |