Remarks on Ramanujan's inequality concerning the prime counting function

DOI10.2478/cm-2021-0014zbMath1485.11011OpenAlexW3155525794MaRDI QIDQ2667563

Mehdi Hassani

Publication date: 4 March 2022

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

Full work available at URL: https://doi.org/10.2478/cm-2021-0014

zbMATH Keywords

Riemann hypothesisprime numbersRamanujan's inequality

Mathematics Subject Classification ID

Primes (11A41)

Related Items (4)

On Ramanujan's prime counting inequality ⋮ Unnamed Item ⋮ Improving bounds on prime counting functions by partial verification of the Riemann hypothesis ⋮ Discretization of prime counting functions, convexity and the Riemann hypothesis

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an inequality of Ramanujan concerning the prime counting function
• Estimates of the \(k\)th prime under the Riemann hypothesis
• Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function
• On Solving a Curious Inequality of Ramanujan
• The error term in the prime number theorem
• Estimates for $\pi(x)$ for large values of $x$ and Ramanujan's prime counting inequality
• Updating the error term in the prime number theorem

This page was built for publication: Remarks on Ramanujan's inequality concerning the prime counting function