Multiplicatively dependent integer vectors on a hyperplane

Journal of the London Mathematical Society 2026 Open access

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Authors: Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya
DOI: 10.1112/jlms.70631
Cited by: 0

Abstract

Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.

Fields of Study & Subjects

Analytic Number Theory Research Mathematical functions and polynomials Holomorphic and Operator Theory

Publication details

Journal / source
Journal of the London Mathematical Society
Volume
114
Issue
1
Publication date
1 July 2026
Language
EN