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arXiv · 2207.02486

On Ramanujan's prime counting inequality

Christian Axler
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Abstract

In this paper, we give a new upper bound for the number $N_{\mathcal{R}}$ which is defined to be the smallest positive integer such that a certain inequality due to Ramanujan involving the prime counting function $\pi(x)$ holds for every $x \geq N_{\mathcal{R}}$.

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Christian Axler. 2022-07-06. On Ramanujan's prime counting inequality. https://arxiv.org/abs/2207.02486

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