On general sums involving the floor function with applications to $k$-free numbers

Wei Zhang

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arXiv · 2112.06156

On general sums involving the floor function with applications to $k$-free numbers

Wei Zhang

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Abstract

In this paper, we consider sums related the floor function. We can improve some previous results for some special arithmetic functions considered by Bordell\'es [3], Stucky[9] and Liu-Wu-Yang [6]. We can also give a refined result for previous results for general function considered by Bordell\'es, Dai, Heyman, Pan and Shparlinski [1] and Wu [11].

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Wei Zhang. 2021-12-12. On general sums involving the floor function with applications to $k$-free numbers. https://arxiv.org/abs/2112.06156

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