Higher Order Divisor Functions over Values of Mixed Powers

高阶除数函数在混合幂次上的值

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摘要 Let τk(n) be the k-th divisor function.In this paper,we derive an asymptotic formula for the sum ■where k≥4,r≥2,s≥2 and ℓ≥2r-1are integers.

作者 DU Chen-hao SUN Qing-feng 都晨豪;孙庆峰

机构地区 School of Mathematics and Statistics

出处《Chinese Quarterly Journal of Mathematics》 2025年第4期331-351,共21页 数学季刊(英文版)

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

关键词 k-th divisor function Divisor problem Mixed powers

分类号 O156 [理学—基础数学]

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参考文献1

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共引文献1

1李金蒋.关于四元非齐次幂和的除数问题[J].数学的实践与认识,2021,51(8):321-328.

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Chinese Quarterly Journal of Mathematics

2025年第4期

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Higher Order Divisor Functions over Values of Mixed Powers

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