Jeremy A. Rouse

activity

20072023

most citedGalois theory of iterated endomorphisms

44 citations · 123 across the 26 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

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.NT2018

The density of odd order reductions for elliptic curves with a rational point of order 2

Ke Liang, Jeremy Rouse

Suppose that $E / Q$ is an elliptic curve with a rational point $T$ of order $2$ and $α \in E (Q)$ is a point of infinite order. We consider the problem of determinin…

math.NT2018

Integers represented by positive-definite quadratic forms and Petersson inner products

Jeremy Rouse

Let $Q$ be a positive-definite quaternary quadratic form with integer coefficients. We study the problem of giving bounds on the largest positive integer $n$ that is locally repres…

p-adic quotient sets II: quadratic forms

The density of odd order reductions for elliptic curves with a rational point of order 2

Integers represented by positive-definite quadratic forms and Petersson inner products

$p$ -adic quotient sets II: quadratic forms