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arXiv · 1602.04244

A fast computation of density of exponentially $S$-numbers

Vladimir Shevelev
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Abstract

The author \cite{4} proved that, for every set $S$ of positive integers containing 1 (finite or infinite) there exists the density $h=h(E(S))$ of the set $E(S)$ of numbers whose prime factorizations contain exponents only from $S,$ and gave an explicit formula for $h(E(S)).$ In this paper we give an equivalent polynomial formula for $\log h(E(S))$ which allows to get a fast calculation of $h(E(S)).$

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Vladimir Shevelev. 2016-02-07. A fast computation of density of exponentially $S$-numbers. https://arxiv.org/abs/1602.04244

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