Counting multiplicatively dependent integer vectors on a hyperplane

3:00pm, Wednesday 1 Oct 2025

Abstract

We give several asymptotic formulas and bounds for the number of multiplicativly dependent integer vectors of bounded height that lies on a hyperplane, extending the work of Pappalardi, Sha, Shparlinski and Stewart. Joint work with Valentio Iverson and Gian Cordana Sanjaya  (University of Waterloo).