New bounds for the prime counting function \pi(x)

zbMath1414.11107arXiv1409.1780MaRDI QIDQ2830367

Christian Axler

Publication date: 28 October 2016

Full work available at URL: https://arxiv.org/abs/1409.1780

zbMATH Keywords

prime counting function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05)

Related Items (8)

On Ramanujan primes ⋮ Explicit estimates in inter-universal Teichmüller theory ⋮ New primitive covering numbers and their properties ⋮ On the counting function of semiprimes ⋮ Prime gaps and the Firoozbakht conjecture ⋮ On the arithmetic and geometric means of the first \(n\) prime numbers ⋮ New estimates for some functions defined over primes ⋮ Estimates for $\pi(x)$ for large values of $x$ and Ramanujan's prime counting inequality

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