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arXiv · 0801.2796

Sums with multiplicative functions over a Beatty sequence

Ahmet M. Guloglu·C. Wesley Nevans
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Abstract

We study sums with multiplicative functions that take values over a non-homogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas such as the number of integers in a Beatty sequence representable as a sum of two squares up to a given magnitude.

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Ahmet M. Guloglu, C. Wesley Nevans. 2008-01-18. Sums with multiplicative functions over a Beatty sequence. https://arxiv.org/abs/0801.2796

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