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 2022Show all

2 papers · 1 filter

math.NT2022

Quaternary quadratic forms with prime discriminant

Jeremy Rouse, Katherine Thompson

Let $Q$ be a positive-definite quaternary quadratic form with prime discriminant. We give an explicit lower bound on the number of representations of a positive integer $n$ by $Q$ .…

math.NT2022

Rational points on $x^{3} + x^{2} y^{2} + y^{3} = k$

Xiaoan Lang, Jeremy Rouse

We study the problem of determining, given an integer $k$ , the rational solutions to $C_{k} : x^{3} z + x^{2} y^{2} + y^{3} z = k z^{4}$ . For $k \neq = 0$ , the curve $C_{k}$ has genus $3…

Quaternary quadratic forms with prime discriminant

Rational points on x3+x2y2+y3=k

Rational points on $x^{3} + x^{2} y^{2} + y^{3} = k$