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arXiv · 1311.1398

An explicit formula for the prime counting function

Konstantinos N. Gaitanas
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Abstract

In this paper we use a theorem first proved by S.W.Golomb and a famous inequality by J.B. Rosser and L.Schoenfeld in order to prove that there exists an exact formula for $\pi(n)$ which holds infinitely often.

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Konstantinos N. Gaitanas. 2013-11-03. An explicit formula for the prime counting function. https://doi.org/10.4169/amer.math.monthly.122.03.283

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