Sum of small arithmetic functions in a floor function set

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.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2025-08-18
DOI
https://doi.org/10.56947/gjom.v20i2.3052
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Sum of small arithmetic functions in a floor function set

Teerapat Srichan, Boonrod Yuttanan, Traiwat Intarawong
Gulf Journal of Mathematics
Iterative Methods for Nonlinear Equations
article

Sum of small arithmetic functions in a floor function set

Teerapat Srichan, Boonrod Yuttanan, Traiwat Intarawong
article en

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.

Gulf Journal of MathematicsVol. 20(2)
Prince of Songkla University (TH), Kasetsart University (TH)
Kasetsart University, National Research Council of Thailand
Openalex Percentile: Top 69%
Iterative Methods for Nonlinear Equations
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