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), p. 17
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 �l T^{7/4}(�og T)^{7/2}�og�og T.
$
DOI :
10.2298/BMAT0328017I
Classification :
11M06 11F72 11F66 11M41
Keywords: Riemann zeta-function, mean square, mean fourth power, Hecke series
Keywords: Riemann zeta-function, mean square, mean fourth power, Hecke series
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), p. 17 . doi: 10.2298/BMAT0328017I
@article{10_2298_BMAT0328017I,
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 },
year = {2003},
volume = {28},
doi = {10.2298/BMAT0328017I},
zbl = {1055.11051},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0328017I/}
}
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%0 Journal Article %A A. Ivić %T On some mean value results involving |zeta(1/2+ it)| %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2003 %P 17 %V 28 %U http://geodesic.mathdoc.fr/articles/10.2298/BMAT0328017I/ %R 10.2298/BMAT0328017I %G en %F 10_2298_BMAT0328017I
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