On a Sum Involving the Sum-of-Divisors Function

Feng Zhao, Jie Wu and Tianping Zhang

Journal of Mathematics, 2021, vol. 2021, 1-7

Abstract: Let σn be the sum of all divisors of n and let t be the integral part of t. In this paper, we shall prove that ∑n≤xσx/n=π2/6x  log  x+Oxlog  x2/3log2  x4/3 for x⟶∞, and that the error term of this asymptotic formula is Ωx.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5574465

DOI: 10.1155/2021/5574465

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