Pair Correlation Estimates for the Zeros of the Zeta Function via Semidefinite Programming
Number Theory
2019-11-19 v2 Numerical Analysis
Classical Analysis and ODEs
Numerical Analysis
Abstract
In this paper we study the distribution of the non-trivial zeros of the Riemann zeta-function (and other L-functions) using Montgomery's pair correlation approach. We use semidefinite programming to improve upon numerous asymptotic bounds in the theory of , including the proportion of distinct zeros, counts of small gaps between zeros, and sums involving multiplicities of zeros.
Cite
@article{arxiv.1810.08843,
title = {Pair Correlation Estimates for the Zeros of the Zeta Function via Semidefinite Programming},
author = {Andrés Chirre and Felipe Gonçalves and David de Laat},
journal= {arXiv preprint arXiv:1810.08843},
year = {2019}
}
Comments
16 pages, 7 ancillary files