论文标题
每个整数都可以写成正方形加上平方英尺
Every integer can be written as a square plus a squarefree
论文作者
论文摘要
在论文中，我们可以证明每个整数都可以写为两个整数的总和，一个完美的正方形和一个无方形。我们还建立了以这种形式的整数表示数量的渐进式公式。结果与除数函数密切相关。在研究过程中，我们对此获得了独立的结果。具体而言，我们能够为任何整数且完全显式推导有效的除数函数的新上限。
In the paper we can prove that every integer can be written as the sum of two integers, one perfect square and one squarefree. We also establish the asympotic formula for the number of representations of an integer in this form. The result is deeply related with the divisor function. In the course of our study we get an independent result about it. Concretely we are able to deduce a new upper bound for the divisor function valid for any integer and fully explicit.
