Certain Sums Over Ordinates of Zeta Zeros III
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 44 (2019), p. 47
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The upper bound
\[
ıt_2^T|G(\hf+\I t)|^2ṭ l Tog^2T
\]
is proved, where initially $G(s) = \sum\limits_{\g>0}\g^{-s}$.
Here $\g$ denotes ordinates of complex zeros of the Riemann zeta-function $\z(s)$.
This coincides with the lower bound for the integral in question.
Classification :
11M06
Keywords: Riemann zeta-function, sums over ordinates, mean square estimates
Keywords: Riemann zeta-function, sums over ordinates, mean square estimates
Aleksandar Ivić. Certain Sums Over Ordinates of Zeta Zeros III. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 44 (2019), p. 47 . http://geodesic.mathdoc.fr/item/BASS_2019_44_a2/
@article{BASS_2019_44_a2,
author = {Aleksandar Ivi\'c},
title = {Certain {Sums} {Over} {Ordinates} of {Zeta} {Zeros} {III}},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {47 },
year = {2019},
volume = {44},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2019_44_a2/}
}