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arXiv · 1409.1780

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

Christian Axler
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Abstract

In this paper we establish a number of new estimates concerning the prime counting function \pi(x), which improve the estimates proved in the literature. As an application, we deduce a new result concerning the existence of prime numbers in small intervals.

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Christian Axler. 2014-09-05. New bounds for the prime counting function \pi(x). https://arxiv.org/abs/1409.1780

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