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arXiv · 2411.12009

More on consecutive multiplicatively dependent triples of integers

Michael A. Bennett·István Pink·Ingrid Vukusic
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Abstract

In this paper, we extend recent work of the third author and Ziegler on triples of integers $(a,b,c)$, with the property that each of $(a,b,c)$, $(a+1,b+1,c+1)$ and $(a+2,b+2,c+2)$ is multiplicatively dependent, completely classifying such triples in case $a=2$. Our techniques include a variety of elementary arguments together with more involved machinery from Diophantine approximation.

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Michael A. Bennett, István Pink, Ingrid Vukusic. 2024-11-18. More on consecutive multiplicatively dependent triples of integers. https://arxiv.org/abs/2411.12009

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