A note on a conjecture of Gonek
Number Theory
2021-09-23 v1
Abstract
We derive a lower bound for a second moment of the reciprocal of the derivative of the Riemann zeta-function averaged over the zeros of the zeta-function that is half the size of the conjectured value. Our result is conditional upon the assumption of the Riemann Hypothesis and the conjecture that the zeros of the zeta-function are simple.
Cite
@article{arxiv.1106.1160,
title = {A note on a conjecture of Gonek},
author = {Micah B. Milinovich and Nathan Ng},
journal= {arXiv preprint arXiv:1106.1160},
year = {2021}
}
Comments
10 pages, to appear in Funct. Approx. Comment. Math