Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

This is a preview. Log in through your library . Abstract In this article we study a small random perturbation of a linear recurrence equation. If all the roots of its corresponding characteristic ...

This is a preview. Log in through your library . Abstract In this paper, we present a new technique for determining all perfect powers in so-called Pell sequences. To be precise, given a positive ...