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 the zeta-function, including the proportion of distinct zeros, counts of small gaps between zeros, and sums involving multiplicities of zeros.
Original language | English |
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Article number | 106926 |
Pages (from-to) | 1-22 |
Number of pages | 22 |
Journal | Advances in Mathematics |
Volume | 361 |
DOIs | |
Publication status | Published - 12 Feb 2020 |
Externally published | Yes |
Keywords
- Pair correlation
- Semidefinite programming
- Zeta function
- Zeta zeros