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A note on \(p\)-adic denseness of quotients of values of quadratic forms. (English) Zbl 1470.11056

A classification of nonsingular quadratic forms \(Q\) with integral coefficients such that the set of quotients of values of \(Q\) attained for integer arguments is dense in the field of \(p\)-adic numbers has been obtained by C. Donnay et al. [J. Number Theory 201, 23–39 (2019; Zbl 1459.11025)]. The paper under review gives another proof of the classification.

MSC:

11E08 Quadratic forms over local rings and fields
11B05 Density, gaps, topology

Citations:

Zbl 1459.11025
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References:

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