Corpus ID: 214605699

# Lower bounds for discrete negative moments of the Riemann zeta function

@article{Heap2020LowerBF,
title={Lower bounds for discrete negative moments of the Riemann zeta function},
author={Winston Heap and Junxian Li and Jing Zhao},
journal={arXiv: Number Theory},
year={2020}
}
• Published 20 March 2020
• Mathematics
• arXiv: Number Theory
We prove lower bounds for the discrete negative $2k$th moment of the derivative of the Riemann zeta function for all fractional $k\geqslant 0$. 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.
1 Citations
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