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
Cet article a éte moissonné depuis 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
@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/}
}
TY - JOUR AU - A. Ivić TI - On some mean value results involving |zeta(1/2+ it)| JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2003 SP - 17 VL - 28 UR - http://geodesic.mathdoc.fr/articles/10.2298/BMAT0328017I/ DO - 10.2298/BMAT0328017I LA - en ID - 10_2298_BMAT0328017I ER -
%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
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
Cité par Sources :