Perfect powers in polynomial power sums

C Fuchs, S Heintze - arXiv preprint arXiv:1912.10033, 2019 - arxiv.org
We prove that a non-degenerate simple linear recurrence sequence $(G_n (x)) _ {n=
0}^{\infty} $ of polynomials satisfying some further conditions cannot contain arbitrary large …

[PDF][PDF] New results on Diophantine problems related to linear recurrences

S Heintze - 2021 - eplus.uni-salzburg.at
We are interested in solutions of a norm form equation that takes values in a given multi-
recurrence. We show that among the solutions there are only finitely many different values in …