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

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.

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Bibliographic Details
Published inIndagationes mathematicae Vol. 32; no. 3; pp. 639 - 645
Main Author Miska, Piotr
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.05.2021
Elsevier Science Ltd
Subjects
[formula omitted]-adic topology
Denseness
Prime numbers
Quadratic form
Quadratic forms
Quotient set
Quotients
Ratio set
Quotient set
Ratio set
Quadratic form
p-adic topology
Denseness
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Summary: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.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2021.01.003