Chinese Quarterly Journal of Mathematics ›› 2025, Vol. 40 ›› Issue (4): 331-351.doi: 10.13371/j.cnki.chin.q.j.m.2025.04.001

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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).

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

CLC Number: