A fast computation of density of exponentially S-numbers

Abstract

The author 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 h(E(S)) which allows to get a fast calculation of h(E(S)).

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