Trinomials with given roots

2019/08/02 by Bilu, Yuri, Luca, Florian
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1908.01076

Abstract

We show that, apart from some obvious exceptions, the number of trinomials vanishing at given complex numbers is bounded by an absolute constant. When the numbers are algebraic, we also bound effectively the degrees and the heights of these trinomials.

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