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arXiv · 1707.04965

On the number of integer polynomials with multiplicatively dependent roots

Arturas Dubickas·Min Sha
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Abstract

In this paper, we give some counting results on integer polynomials of fixed degree and bounded height whose distinct non-zero roots are multiplicatively dependent. These include sharp lower bounds, upper bounds and asymptotic formulas for various cases, although in general there is a logarithmic gap between lower and upper bounds.

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Arturas Dubickas, Min Sha. 2017-07-17. On the number of integer polynomials with multiplicatively dependent roots. https://arxiv.org/abs/1707.04965

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