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arXiv · 1810.08843

Pair Correlation Estimates for the Zeros of the Zeta Function via Semidefinite Programming

Andrés Chirre·Felipe Gonçalves·David de Laat
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Abstract

In this paper we study the distribution of the non-trivial zeros of the Riemann zeta-function $ζ(s)$ (and other L-functions) using Montgomery's pair correlation approach. We use semidefinite programming to improve upon numerous asymptotic bounds in the theory of $ζ(s)$, including the proportion of distinct zeros, counts of small gaps between zeros, and sums involving multiplicities of zeros.

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Andrés Chirre, Felipe Gonçalves, David de Laat. 2019-11-18. Pair Correlation Estimates for the Zeros of the Zeta Function via Semidefinite Programming. https://arxiv.org/abs/1810.08843

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