Articles with "prime counting" as a keyword



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Asymptotic expansions of the prime counting function

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Published in 2021 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2021.07.032

Abstract: We provide several asymptotic expansions of the prime counting function $\pi(x)$ and related functions. We define an {\it asymptotic continued fraction expansion} of a complex-valued function of a real or complex variable to be a… read more here.

Keywords: asymptotic expansions; continued fraction; prime counting; expansions prime ... See more keywords