We study multiplicative dependence between elements in orbits of algebraic dynamical
systems over number fields modulo a finitely generated multiplicative subgroup of the field …

We prove several results on backward orbits of rational functions over number fields. First,
we show that if K is a number field, ϕ∈ K (x) and α∈ K then the extension of K generated by …

In this paper, we establish some finiteness results about the multiplicative dependence of
rational values modulo sets which are 'close'(with respect to the Weil height) to division …

For positive integers and, we introduce and study the notion of-multiplicative dependence
over the algebraic closure of a finite prime field, as well as-linear dependence of points on …

In this paper, we first prove that given pairwise distinct algebraic numbers α1,..., αn, the
numbers α1+ t,..., αn+ t are multiplicatively independent for all sufficiently large integers t …

In this paper, we study the finiteness problem of torsion points on an elliptic curve whose
coordinates satisfy some multiplicative dependence relations. In particular, we prove that on …

Let K be an algebraically closed field of characteristic zero, let G be a finitely generated
subgroup of the multiplicative group of K, and let X be a quasiprojective variety defined over …

We classify the pairs of polynomials $ f, g\in\mathbb {C}[X] $ having orbits satisfying infinitely
many multiplicative dependence relations, extending a result of Ghioca, Tucker and Zieve …

We study an open question at the interplay between the classical and the dynamical Mordell-
Lang conjectures in positive characteristic. Let $ K $ be an algebraically closed field of …

Given polynomials $ f_1,\ldots, f_n $ in $ m $ variables with integral coefficients, we give
upper bounds for the number of integral $ m $-tuples $\mathbf {u} _1,\ldots,\mathbf {u} _n …