Higher Order Divisor Functions over Values of Mixed Powers#br#

DU Chen-hao, SUN Qing-feng

doi:10.13371/j.cnki.chin.q.j.m.2025.04.001

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 4: 331 - 351

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.04.001

Higher Order Divisor Functions over Values of Mixed Powers#br#

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School of Mathematics and Statistics, Shandong University, Shandong 264209, China

DU Chen-hao (2000-), male, native of Anyang, Henan, master student of Shandong University, engages in number theory; SUN Qing-feng (1982-), female, native of Qingdao, Shandong, professor of Shandong University, Ph.D supervisor, engages in number theory.

SUN Qing-feng (1982-), female, native of Qingdao, Shandong, professor of Shandong University, Ph.D supervisor, engages in number theory

Received date: 2025-03-24

Online published: 2025-12-30

Supported by

Supported by the National Natural Science Foundation of China (Grant Nos. 12471005 and 12031008) and Natural Science Foundation of Shandong Province (Grant No. ZR2023MA003).

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Abstract

Let τ_k(n) be the k-th divisor function. In this paper, we derive an asymptotic formula for the sum ……

Key words： k-th divisor function; Divisor problem; Mixed powers

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DU Chen-hao, SUN Qing-feng . Higher Order Divisor Functions over Values of Mixed Powers#br#[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(4) : 331 -351 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.001

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