Research output per year
Research output per year
Clemens Fuchs^{*}, Sebastian Heintze
Research output: Contribution to journal › Article › peer-review
Let (Gn)n=0∞ be a polynomial power sum, i.e. a simple linear recurrence sequence of complex polynomials with power sum representation Gn=f1α1n+⋯+fkαkn and polynomial characteristic roots α_{1}, … , α_{k}. For a fixed polynomial p, we consider sets { a, b, c} consisting of three non-zero polynomials such that ab+ p, ac+ p, bc+ p are elements of (Gn)n=0∞. We will prove that under a suitable dominant root condition there are only finitely many such sets if neither f_{1} nor f_{1}α_{1} is a perfect square.
Original language | English |
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Pages (from-to) | 289-299 |
Number of pages | 11 |
Journal | Periodica Mathematica Hungarica |
Volume | 86 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2023 |
Research output: Contribution to journal › Comment/debate › peer-review