TY - JOUR
T1 - Decomposable polynomials in second order linear recurrence sequences
AU - Fuchs, Clemens
AU - Karolus, Christina
AU - Kreso, Dijana
PY - 2018/10/4
Y1 - 2018/10/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85054563575&partnerID=8YFLogxK
U2 - 10.1007/s00229-018-1070-8
DO - 10.1007/s00229-018-1070-8
M3 - Article
AN - SCOPUS:85054563575
SN - 0025-2611
JO - Manuscripta mathematica
JF - Manuscripta mathematica
ER -