2 papers
math.NT2022
Representing integers as a sum of three cubes
Jon Grantham, P. G. Walsh
In this article we further develop methods for representing integers as a sum of three cubes. In particular, a barrier to solving the case , which was outlined in a previous p…
math.NT2022
Lower bounds for ranks using Pell equations
P. G. Walsh
We examine the ranks of a subfamily of curves in a previous article, which are derived from the existence of solutions to certain Pell equations. We exhibit an abundance of curves…