Highly Influenced

4 Excerpts

- Published 2007

Let g ∈ Z[x1, . . . , xn] be an absolutely irreducible cubic polynomial whose homogeneous part is non-degenerate. The primary goal of this paper is to investigate the set of integer solutions to the equation g = 0. Specifically, we shall try to determine conditions on g under which we can show that there are infinitely many solutions. An obvious necessary condition for the existence of integer solutions is that the congruence

@inproceedings{Browning2007IntegralPO,
title={Integral Points on Cubic Hypersurfaces},
author={Tim D. Browning},
year={2007}
}