18 citations · 38 across the 42 of their papers we have counts for
5 papers · 1 filter
The Arithmetic of Consecutive Polynomial Sequences over Finite Fields
Domingo Gómez-Pérez, Alina Ostafe, Min Sha
Motivated by a question of van der Poorten about the existence of infinite chain of prime numbers (with respect to some base), in this paper we advance the study of sequences of co…
Counting dynamical systems over finite fields
Alina Ostafe, Min Sha
We continue previous work to count non-equivalent dynamical systems over finite fields generated by polynomials or rational functions.
Reductions Modulo Primes of Systems of Polynomial Equations and Algebraic Dynamical Systems
Carlos D'Andrea, Alina Ostafe, Igor E. Shparlinski +1
We give bounds for the number and the size of the primes such that a reduction modulo of a system of multivariate polynomials over the integers with a finite number of…
On some extensions of the Ailon-Rudnick Theorem
Alina Ostafe
In this paper we present some extensions of the Ailon-Rudnick Theorem, which says that if , then is bounded for all . More preci…
On the quantitative dynamical Mordell-Lang conjecture
Alina Ostafe, Min Sha
The dynamical Mordell-Lang conjecture concerns the structure of the intersection of an orbit in an algebraic dynamical system and an algebraic variety. In this paper, we bound the…