Estimates of the \(k\)th prime under the Riemann hypothesis

DOI10.1007/s11139-017-9984-4zbMath1441.11258OpenAlexW2821033401WikidataQ60692033 ScholiaQ60692033MaRDI QIDQ1991658

Pierre Dusart

Publication date: 30 October 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9984-4

zbMATH Keywords

Riemann hypothesisprime numbersnumber theoryChebyshev functionsarithmetic functionscounting prime function

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of primes (11N05) Rate of growth of arithmetic functions (11N56)

Related Items

The sum of divisors function and the Riemann hypothesis, Remarks on Ramanujan's inequality concerning the prime counting function, New estimates for the $n$th prime number, Unnamed Item

Cites Work

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