Trinomials with given roots

Trinomials with given roots

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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Veröffentlicht in:Indagationes mathematicae 2020-01, Vol.31 (1), p.33-42
Hauptverfasser: Bilu, Yuri, Luca, Florian
Format: Artikel
Sprache:eng
Schlagworte:
Logarithmic forms
Mathematics
Number Theory
Subspace theorem
Trinomials
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Beschreibung
Zusammenfassung: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.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2019.09.001