Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772563 | Journal of Number Theory | 2017 | 34 Pages |
Abstract
We study a weighted divisor functionââ²mnâ¤xcosâ¡(2Ïmθ1)sinâ¡(2Ïnθ2), where θi (0<θi<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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lirui Jia, Wenguang Zhai,