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 2010Show all

2 papers · 1 filter

math.NT2010★ 15 cited

Bounds for coefficients of cusp forms and extremal lattices

Paul Jenkins, Jeremy Rouse

A cusp form $f (z)$ of weight $k$ for $\SL_{2}(\Z)$ is determined uniquely by its first $ℓ := dim S_{k}$ Fourier coefficients. We derive an explicit bound on the $n$ th coefficie…

math.NT2010★ 4 cited

On the sums of two cubes

Bruce Reznick, Jeremy Rouse

We solve the equation $f (x, y)^{3} + g (x, y)^{3} = x^{3} + y^{3}$ for homogeneous $f, g \in C (x, y)$ , completing an investigation begun by Viète in 1591. The usual addition law for el…