A mean value result involving the fourth moment of $|ζ(1/2+it)|$
| dc.creator | Ivic, Aleksandar | |
| dc.date | 2003-05-13 | |
| dc.date | 2003-11-10 | |
| dc.date.accessioned | 2026-07-07T04:57:57Z | |
| dc.date.available | 2026-07-07T04:57:57Z | |
| dc.description | If $(k,\ell)$ is an exponent pair such that $k+\ell<1$, then we have $$ \int_1^T|ζ(1/2+it)|^4|ζ(σ+it)|^2dt \ll_εT^{1+ε}\quad(σ> \min({5\over6},\max(\ell-k, {5k+\ell\over4k+1})), $$ while if $(k,\ell)$ is an exponent pair such that $3k+\ell<1$, then we have $$ \int_1^T|ζ(1/2+it)|^4|ζ(σ+it)|^4dt \ll_εT^{1+ε}\quad(σ> {11k+\ell+1\over8k+2}). $$ | |
| dc.description | 9 pages, only TeX formatting corrected | |
| dc.identifier | https://arxiv.org/abs/math/0305179 | |
| dc.identifier | http://arxiv.org/abs/math/0305179 | |
| dc.identifier | Annales Univ. Sci. Budapest, Sect. Computatorica 23(2004), 47-58 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67446 | |
| dc.subject | Number Theory | |
| dc.subject | 11M06 | |
| dc.title | A mean value result involving the fourth moment of $|ζ(1/2+it)|$ | |
| dc.type | text |