Decomposable polynomials in second order linear recurrence sequences

Clemens Fuchs*, Christina Karolus, Dijana Kreso

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We study elements of second order linear recurrence sequences (Gn)n=0∞ of polynomials in C[x] which are decomposable, i.e. representable as Gn= g∘ h for some g, h∈ C[x] satisfying deg g, deg h> 1. Under certain assumptions, and provided that h is not of particular type, we show that deg g may be bounded by a constant independent of n, depending only on the sequence.

Original languageEnglish
JournalManuscripta mathematica
DOIs
Publication statusE-pub ahead of print - 4 Oct 2018

ASJC Scopus subject areas

  • Mathematics(all)

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