Sum of small arithmetic functions in a floor function set

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Published: 2025-08-18
DOI: https://doi.org/10.56947/gjom.v20i2.3052
Keywords:
Floor function set, Small arithmetic function

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Traiwat Intarawong
Division of Computational Science, Faculty of Science, Prince of Songkla University, Thailand
Teerapat Srichan
Department of Mathematics, Faculty of Science, Kasetsart University, Thailand
Boonrod Yuttanan
Division of Computational Science, Faculty of Science, Prince of Songkla University, Thailand

Abstract

In this paper, we derive asymptotic formulas for the summation of small arithmetic functions over a floor function set. Our results are obtained under assumptions on the size of the floor function set and its alignment with a given arithmetic progression.

Article Details

Issue

Vol. 20 No. 2 (2025)

Section

Articles

How to Cite

Sum of small arithmetic functions in a floor function set. (2025). Gulf Journal of Mathematics, 20(2), 57-65. https://doi.org/10.56947/gjom.v20i2.3052