episciences.org_5110_1675128519
1675128519
episciences.org
raphael.tournoy+crossrefapi@ccsd.cnrs.fr
episciences.org
HardyRamanujan Journal
28047370
10.46298/journals/hrj
https://hrj.episciences.org
01
23
2019
On certain sums over ordinates of zetazeros II
Andriy
Bondarenko
Aleksandar
Ivić
Eero
Saksman
Kristian
Seip
Let γ denote the imaginary parts of complex zeros ρ = β + iγ of ζ(s). The problem of analytic continuation of the function $G(s) :=\sum_{\gamma >0} {\gamma}^{s}$ to the left of the line $\Re{s} = −1 $ is investigated, and its Laurent expansion at the pole s = 1 is obtained. Estimates for the second moment on the critical line $\int_{1}^{T} { G (\frac{1}{2} + it) }^2 dt $ are revisited. This paper is a continuation of work begun by the second author in [Iv01].
01
23
2019
5110
https://hal.science/hal01986703v1
10.46298/hrj.2019.5110
https://hrj.episciences.org/5110

https://hrj.episciences.org/5110/pdf

https://hrj.episciences.org/5110/pdf