A weighted divisor problem

作者：Jia, Lirui^*; Zhai, Wenguang

来源：Journal of Number Theory, 2017, 178: 60-93.

DOI：10.1016/j.jnt.2017.02.004

• Weighted divisor problem
• Power-moment
• Upper bound

We study a weighted divisor function @@@ Sigma(')(mn <= x) cos(2 pi rm theta(1)) sin(2 pi n theta(2))) @@@ where theta(1) (0 < theta(2), < 1) is a rational number. By connecting it with the divisor problem with congruence conditions, we establish an upper bound, mean-value, mean-square and some power-moments.

• 出版日期2017-9
• 单位浙江大学; 中国矿业大学（北京）