Multiplicatively dependent integer vectors on a hyperplane
Number Theory
2025-10-20 v2
Abstract
We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Keywords
Cite
@article{arxiv.2510.10855,
title = {Multiplicatively dependent integer vectors on a hyperplane},
author = {Muhammad Afifurrahman and Valentio Iverson and Gian Cordana Sanjaya},
journal= {arXiv preprint arXiv:2510.10855},
year = {2025}
}
Comments
35 pages, improved bound