On a sum involving the prime counting function $π(x)$

Aleksandar Ivić

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On a sum involving the prime counting function $π(x)$

Aleksandar Ivić

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Abstract

A sharp asymptotic formula for the sum of reciprocals of $π(n)$ is derived, where $π(x)$ is the number of primes not exceeding $x$. This result improves the previous results of De Koninck--Ivić and L. Panaitopol.

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BibTeX RIS

Aleksandar Ivić. 2003-11-27. On a sum involving the prime counting function $π(x)$. https://arxiv.org/abs/math/0311498

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