The number of solutions to Mordell's equations in constrained ranges

Abstract

We estimate the number of solutions to $|y^2-x^3|\le X$ with $N\le y\le 2N$, in terms of both $N$ and $X$.

15 pages

References in corpus (2)

• Distribution of mass of holomorphic cusp forms
• On Hall's conjecture

Cited by in corpus (1)

• Integral points on cubic twists of Mordell curves