2 papers
math.NT2020
Numbers represented by restricted sums of four squares
Guang-Liang Zhou, Yue-Feng She
In this paper, we prove some results of restricted sums of four squares using arithmetic of quaternions in the ring of Lipschitz integers. For example, we show that every nonnegati…
math.NT2018
On sums and products in a field
Guang-Liang Zhou, Zhi-Wei Sun
In this paper we study sums and products in a field. Let be a field with , where is the characteristic of . For any integer , we show…