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New bounds for the prime counting function π(x)

Published 5 Sep 2014 in math.NT | (1409.1780v7)

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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Authors (1)

  1. Christian Axler 

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