Integral Points on Cubic Hypersurfaces

Abstract

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

Cite this paper

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