数学季刊 ›› 2025, Vol. 40 ›› Issue (4): 331-351.doi: 10.13371/j.cnki.chin.q.j.m.2025.04.001

• •    下一篇

高阶除数函数在混合幂次上的值

  

  1. School of Mathematics and Statistics, Shandong University, Shandong 264209, China
  • 收稿日期:2025-03-24 出版日期:2025-12-30 发布日期:2025-12-30
  • 作者简介: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.
  • 基金资助:
    Supported by the National Natural Science Foundation of China (Grant Nos. 12471005 and 12031008) and Natural Science Foundation of Shandong Province (Grant No. ZR2023MA003).

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

  1. School of Mathematics and Statistics, Shandong University, Shandong 264209, China
  • Received:2025-03-24 Online:2025-12-30 Published:2025-12-30
  • About author: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.
  • 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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摘要： Let τk(n) be the k-th divisor function. In this paper, we derive an asymptotic formula for the sum ……

关键词: k-th divisor function, Divisor problem, Mixed powers

Abstract: Let τk(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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