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On the number of integer polynomials with multiplicatively dependent roots
Published 17 Jul 2017 in math.NT | (1707.04965v2)
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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