The quotient problem for linear recurrence sequences

Parvathi S Nair, S. S. Rout

Let $\{U(m){\}}_{m\in \mathbb{N}}$ and $\{V(n){\}}_{n\in \mathbb{N}}$ be linear recurrence sequences. It is a well-known Diophantine problem to determine the finiteness of the set of natural numbers $…