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arXiv · 2510.10855

Multiplicatively dependent integer vectors on a hyperplane

Muhammad Afifurrahman·Valentio Iverson·Gian Cordana Sanjaya
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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.

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Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya. 2025-10-12. Multiplicatively dependent integer vectors on a hyperplane. https://arxiv.org/abs/2510.10855

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