Donnay et al. (2019) classified nonsingular quadratic forms $Q$ with integral coefficients and prime numbers $p$ such that the set of quotients of values of $Q$ attained for integer arguments is dense in the field of $p$-adic numbers. The aim of this note is to give another proof of this classification.

中文翻译：

---

关于的注释 $p$二次型的商的-adic密度

Donnay等。（2019）分类的非奇异二次形式$问$ 具有整数系数和素数 $p$ 使得值的商集 $问$ 整数参数获得的在 $p$-adic数字。本注释的目的是为该分类提供另一个证明。