| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593580 | Journal of Number Theory | 2015 | 16 Pages |
Abstract
It is proved that the sum ∑|mi−x|≤xθd(m12+m22+m32) has an asymptotic formula with θ=12+2ϵ. Moreover, we prove that this sum has a more refined asymptotic formula for θ=67+ϵ.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Liqun Hu, Yanjun Yao,