On the estimation of $Z_2(s)$
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2003-11-18 | |
| dc.date.accessioned | 2026-07-07T05:03:00Z | |
| dc.date.available | 2026-07-07T05:03:00Z | |
| dc.description | Estimates for $Z_2(s) = \int_1^|infty |ζ(1/2+ix)|^4x^{-s}dx (\Re s > 1)$ are discussed, both pointwise and in mean square. It is shown how these estimates can be used to bound $E_2(T)$, the error term in the asymptotic formula for $\int_0^T |ζ(1/2+it)|^4dt$. | |
| dc.identifier | https://arxiv.org/abs/math/0311301 | |
| dc.identifier | http://arxiv.org/abs/math/0311301 | |
| dc.identifier | in "Anal. Probab. Methods Number Thery" (eds A. Dubickas et al.), TEV, Vilnius 2002, 83-98. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69238 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06, 11F72 | |
| dc.title | On the estimation of $Z_2(s)$ | |
| dc.type | text |