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