论文标题
在猜想的阳光下，大约有限的正方形
On a Conjecture of Sun about sums of restricted squares
论文作者
论文摘要
在本文中，我们调查了四个整数正方形的总和，它们的主要因素被限制为限制，朝着猜想的猜想取得了进展，该猜想指出，两个整数可能仅限于$ 2^a3^b $和$ 2^c5^d $的表格。我们在三个正方形的总和和Lagrange的四平方定理的有效概括方面获得了高斯和Legendre的结果的无效概括。
In this paper, we investigate sums of four squares of integers whose prime factorizations are restricted, making progress towards a conjecture of Sun that states that two of the integers may be restricted to the forms $2^a3^b$ and $2^c5^d$. We obtain an ineffective generalization of results of Gauss and Legendre on sums of three squares and an effective generalization of Lagrange's four-square theorem.
