18 citations · 38 across the 42 of their papers we have counts for
3 papers · 1 filter
On multiplicative dependence of values of rational functions and a generalisation of the Northcott theorem
Alina Ostafe, Min Sha, Igor E. Shparlinski +1
In this paper, we study multiplicative dependence of values of polynomials or rational functions over a number field. As an application, we obtain new results on multiplicative dep…
On abelian multiplicatively dependent points on a curve in a torus
Alina Ostafe, Min Sha, Igor E. Shparlinski +1
We show, under some natural conditions, that the set of abelian (and thus also cyclotomic) multiplicatively dependent points on an irreducible curve over a number field is a finite…
Orbits of Polynomial Dynamical Systems Modulo Primes
Mei-Chu Chang, Carlos D'Andrea, Alina Ostafe +2
We present lower bounds for the orbit length of reduction modulo primes of parametric polynomial dynamical systems defined over the integers, under a suitable hypothesis on its set…