Christopher Donnay

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math.NT2018

$p$ -adic quotient sets II: quadratic forms

Christopher Donnay, Stephan Ramon Garcia, Jeremy Rouse

For $A \subseteq {1, 2, \dots}$ , we consider $R (A) = {a / a^{'} : a, a^{'} \in A}$ . If $A$ is the set of nonzero values assumed by a quadratic form, when is $R (A)$ dense in the $p$ -adic…

math.NT2017

Numbers Represented by a Finite Set of Binary Quadratic Forms

Christopher Donnay, Havi Ellers, Kate O'Connor +2

Every quadratic form represents 0; therefore, if we take any number of quadratic forms and ask which integers are simultaneously represented by all members of the collection, we ar…

p-adic quotient sets II: quadratic forms

Numbers Represented by a Finite Set of Binary Quadratic Forms

$p$ -adic quotient sets II: quadratic forms