On some mean value results involving |zeta(1/2+ it)|
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 28 (2003) no. 1

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Several problems involving $E(T)$ and $E_2(T)$, the error terms in the mean square and mean fourth moment formula for $|\zt|$, are discussed. In particular it is proved that $$ \int_0^T E(t)E_2(T)\d t łl T^{7/4}(łog T)^{7/2}łogłog T. $$
Keywords: Riemann zeta-function, mean square, mean fourth power, Hecke series
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     author = {A. Ivi\'c},
     title = {On some mean value results involving |zeta(1/2+ it)|},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {17 - 29},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2003},
     zbl = {1055.11051},
     url = {http://geodesic.mathdoc.fr/item/BASS_2003_28_1_a2/}
}
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A. Ivić. On some mean value results involving |zeta(1/2+ it)|. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 28 (2003) no. 1. http://geodesic.mathdoc.fr/item/BASS_2003_28_1_a2/