The mean square of the error term in the prime number theorem

DOI10.1016/j.jnt.2021.09.016OpenAlexW3208077570WikidataQ113870335 ScholiaQ113870335MaRDI QIDQ2162811

David J. Platt, Timothy S. Trudgian, Richard P. Brent

Publication date: 9 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06140

zbMATH Keywords

zeta functionRiemann hypothesisdistribution of primeslimiting distributionprime number theory

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (3)

An explicit upper bound for \(L(1,\chi)\) when \(\chi\) is quadratic ⋮ The sequence of prime gaps is graphic ⋮ Improving bounds on prime counting functions by partial verification of the Riemann hypothesis

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