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A new arithmetical function and its mean value properties

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Abstract

In this article, we use elementary methods and the estimate for character sums to study the mean value properties of a new arithmetical function, and obtain a sharp asymptotic formula for it.

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Funding

This work is supported by the N. S. F. (11771351) of People’s Republic of China.

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All authors have equally contributed to this work. All authors read and approved the final manuscript.

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Correspondence to Teerapat Srichan.

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The authors declare that there are no conflicts of interest regarding the publication of this paper.

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Zhang, W., Srichan, T. & Lv, X. A new arithmetical function and its mean value properties. Bol. Soc. Mat. Mex. 27, 83 (2021). https://doi.org/10.1007/s40590-021-00390-8

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  • DOI: https://doi.org/10.1007/s40590-021-00390-8

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