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 2019Show all

2 papers · 1 filter

math.NT2019

The number of representations of $n$ as a growing number of squares

John Holley-Reid, Jeremy Rouse

Let $r_{k} (n)$ denote the number of representations of the integer $n$ as a sum of $k$ squares. In this paper, we give an asymptotic for $r_{k} (n)$ when $n$ grows linearly with $k$ …

math.NT2019

Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves

Michael Cerchia, Jeremy Rouse

Let $ℓ$ be a prime number and let $F$ be a number field and $E / F$ a non-CM elliptic curve with a point $α \in E (F)$ of infinite order. Attached to the pair $(E, α)$ is the $ℓ$ -…

The number of representations of n as a growing number of squares

Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves

The number of representations of $n$ as a growing number of squares