23 citations · 92 across the 39 of their papers we have counts for
5 papers · 1 filter
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…
Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus
Carlos D'Andrea, Marta Narváez-Clauss, Martín Sombra
We present a quantitative version of Bilu's theorem on the limit distribution of Galois orbits of sequences of points of small height in the -dimensional algebraic torus. Our re…
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 the Mahler measure of resultants in small dimensions
Carlos D'Andrea, Matilde N. Lalin
We prove that sparse resultants having Mahler measure equal to zero are those whose Newton polytope has dimension one. We then compute the Mahler measure of resultants in dimension…
On the height of the Sylvester Resultant
Carlos D'Andrea, Kevin G. Hare
Let n be a positive integer. We consider the Sylvester Resultant of f and g, where f is a generic polynomial of degree 2 or 3 and g is a generic polynomial of degree n. If f is a q…