2025/10/12 by Muhammad Afifurrahman, Valentio Iverson, Afifurrahman, Muhammad +3 · 1 citation
Mathematics · #11D72 #11N25 (primary) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2510.10855
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.