On the number of integer polynomials with multiplicatively dependent roots

A. Dubickas; M. Sha

doi:10.1007/s10474-018-0788-9

On the number of integer polynomials with multiplicatively dependent roots

A. Dubickas, M. Sha^*

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	402-428
Number of pages	27
Journal	Acta Mathematica Hungarica
Volume	154
Issue number	2
DOIs	https://doi.org/10.1007/s10474-018-0788-9
Publication status	Published - Apr 2018

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On the number of integer polynomials with multiplicatively dependent roots

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