Notes on $\log(\zeta(s))^{\prime\prime}$
Number Theory
2014-12-23 v2
Abstract
Motivated by the connection to the pair correlation of the Riemann zeros, we investigate the second derivative of the logarithm of the Riemann zeta function, in particular the zeros of this function. Theorem 1 gives a zero-free region. Theorem 2 gives an asymptotic estimate for the number of nontrivial zeros to height T. Theorem 3 is a zero density estimate.
Cite
@article{arxiv.1311.5465,
title = {Notes on $\log(\zeta(s))^{\prime\prime}$},
author = {Jeffrey Stopple},
journal= {arXiv preprint arXiv:1311.5465},
year = {2014}
}
Comments
To appear in the Rocky Mountain Journal of Mathematics