3 papers
math.NT2024
The field of iterates of a rational function
Francesco Veneziano, Solomon Vishkautsan
We study how the field of definition of a rational function changes under iteration. We provide a complete classification of polynomials with the property that the field of definit…
math.NT2024
Classification of rational angles in plane lattices II
Roberto Dvornicich, Davide Lombardo, Francesco Veneziano +1
This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples…
math.NT2014
On the integral values of a curious recurrence
Roberto Dvornicich, Francesco Veneziano, Umberto Zannier
We discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to…