Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593665 | Journal of Number Theory | 2015 | 15 Pages |
Abstract
In 1911, Dubouis determined all positive integers that are represented by a sum of k positive squares for any k≥4k≥4. In this article, we generalize Dubouis' result to the binary case. We determine all binary forms that are represented by a sum of k nonzero squares for any k≥5k≥5.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yun-Seong Ji, Myung-Hwan Kim, Byeong-Kweon Oh,