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

Piotr Miska

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arXiv · 2011.05415

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

Piotr Miska

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Abstract

Donnay, Garcia and Rouse 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.

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Piotr Miska. 2020-11-10. A note on $p$-adic denseness of quotients of values of quadratic forms. https://arxiv.org/abs/2011.05415

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