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arXiv:1409.1780 [math.NT]AbstractReferencesReviewsResources

New bounds for the prime counting function π(x)

Christian Axler

Published 2014-09-05Version 1

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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