Lower bounds for discrete negative moments of the Riemann zeta function
Number Theory
2022-10-19 v1
Abstract
We prove lower bounds for the discrete negative th moment of the derivative of the Riemann zeta function for all fractional . The bounds are in line with a conjecture of Gonek and Hejhal. Along the way, we prove a general formula for the discrete twisted second moment of the Riemann zeta function. This agrees with a conjecture of Conrey and Snaith.
Keywords
Cite
@article{arxiv.2003.09368,
title = {Lower bounds for discrete negative moments of the Riemann zeta function},
author = {Winston Heap and Junxian Li and Jing Zhao},
journal= {arXiv preprint arXiv:2003.09368},
year = {2022}
}
Comments
42 pages