On certain sums over ordinates of zeta-zeros
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 26 (2001), p. 39
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Let $\g$ denote imaginary parts of complex zeros
of $\z(s)$. Certain sums over the $\g$'s are evaluated,
by using the function $G(s) = \sum_{\g > 0}\g^{-s}$
and other techniques. Some integrals involving the function
$S(T)$ are also considered.
Classification :
11M06
Keywords: Riemann zeta-function, Riemann hypothesis, analytic continuation
Keywords: Riemann zeta-function, Riemann hypothesis, analytic continuation
@article{BASS_2001_26_a2,
author = {A. Ivi\'c},
title = {On certain sums over ordinates of zeta-zeros},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {39 },
year = {2001},
volume = {26},
zbl = {0999.11048},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2001_26_a2/}
}
A. Ivić. On certain sums over ordinates of zeta-zeros. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 26 (2001), p. 39 . http://geodesic.mathdoc.fr/item/BASS_2001_26_a2/