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On Solving a Curious Inequality of Ramanujan

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Publication:2813817
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DOI10.1080/10586458.2014.990118zbMath1418.11131arXiv1407.1901OpenAlexW1552861997MaRDI QIDQ2813817

Adrian W. Dudek, David J. Platt

Publication date: 27 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1901


zbMATH Keywords

Riemann hypothesisRamanujanprime counting functionprimesieve


Mathematics Subject Classification ID

Distribution of primes (11N05) Computational number theory (11Y99)


Related Items (9)

On Ramanujan's prime counting inequality ⋮ Remarks on Ramanujan's inequality concerning the prime counting function ⋮ On the error term in the explicit formula of Riemann–von Mangoldt ⋮ Some explicit estimates for the error term in the prime number theorem ⋮ The error term in the prime number theorem ⋮ On the first sign change of $\theta (x) -x$ ⋮ Estimates for $\pi(x)$ for large values of $x$ and Ramanujan's prime counting inequality ⋮ Updating the error term in the prime number theorem ⋮ Improving bounds on prime counting functions by partial verification of the Riemann hypothesis




Cites Work

  • On an inequality of Ramanujan concerning the prime counting function
  • The large sieve




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