The fractional sum of small arithmetic functions
نویسندگان
چکیده
Motivated by recent results, we study sums of the formSf(x)=∑n≤xf(⌊xn⌋), where f is an arithmetic function and ⌊⋅⌋ denotes greatest integer function. We improve error term in asymptotic formula for Sf(x) some specific cases.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2022
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2021.09.015