Article ID Journal Published Year Pages File Type
4594456 Journal of Number Theory 2012 4 Pages PDF
Abstract

We give an upper bound on the number of vertices of the convex hull of the set of solutions to multivariate polynomial congruences modulo a prime p. The result is based on a combination of an estimate of G. Andrews on the number of vertices of integral polyhedra and a result of É. Fouvry about the distribution of zeros of multivariate polynomials in small boxes.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory