Pair Correlation estimates for the zeros of the zeta function via semidefinite programming
Peer reviewed, Journal article
Accepted version
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Date
2020Metadata
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- Institutt for matematiske fag [2351]
- Publikasjoner fra CRIStin - NTNU [37215]
Original version
10.1016/j.aim.2019.106926Abstract
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.