Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

Let (X, μ) be a probability measure space and $T_{1},\ldots ,T_{n}$ be a family of commuting, measure preserving invertible transformations on X. Let $Q(m_{1},\ldots ...

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 ...