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Donnay, Garcia and Rouse classified nonsingular quadratic forms $Q$ withintegral coefficients and prime numbers $p$ such that the set of quotients ofvalues of $Q$ attained for integer arguments is dense in the field of $p$-adicnumbers. The aim of this note is to give another proof of this classification.

A note on $p$-adic denseness of quotients of values of quadratic forms