On certain inequalities for the prime counting function

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 4, Pages 149–153
DOI: 10.7546/nntdm.2021.27.4.149-153
Full paper (PDF, 148 Kb)

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Authors and affiliations

József Sándor
Department of Mathematics, Babeș-Bolyai University
Cluj-Napoca, Romania

Abstract

We study certain inequalities for the prime counting function π(x). Particularly, a new proof and a refinement of an inequality from [1] is provided.

Keywords

• Prime counting function
• Inequalities
• Hardy–Littlewood conjecture

2020 Mathematics Subject Classification

• 11A25
• 11A41

References

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