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arXiv · 1604.03509

Asymptotics of the counting function of $k$-th power-free elements in an arithmetic semigroup

V. L. Chernyshev·D. S. Minenkov·V. E. Nazaikinskii
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Abstract

For any $k>1$, we find the asymptotics of the counting function of $k$-th power-free elements in an additive arithmetic semigroup with exponential growth of the abstract prime counting function. This paper continues the authors' earlier research dealing with the case of infinite $k$.

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BibTeXRIS

V. L. Chernyshev, D. S. Minenkov, V. E. Nazaikinskii. 2016-04-09. Asymptotics of the counting function of $k$-th power-free elements in an arithmetic semigroup. https://arxiv.org/abs/1604.03509

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