11 papers
On the Disk of Convergence of Algebraic Power Series
Francesco Veneziano, Umberto Zannier
This paper is mainly concerned with the disk of convergence of a power series s(x) representing an algebraic function of x and specifically with the relation between this disk and…
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…
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…
p-Adically convergent loci in varieties arising from periodic continued fractions
Laura Capuano, Marzio Mula, Lea Terracini +1
Inspired by several alternative definitions of continued fraction expansions for elements in , we study -adically convergent periodic continued fractions with parti…
Hyperelliptic continued fractions in the singular case of genus zero
Francesco Ballini, Francesco Veneziano
It is possible to define a continued fraction expansion of elements in a function field of a curve by expanding as a Laurent series in a local parameter. Considering the square roo…
A note on the zeroes of the Fredholm series
Umberto Zannier, Francesco Veneziano
The issue had been raised whether the Fredholm series has infinitely many zeroes in the unit disk. We provide an affirmative answer, proving that in fact ev…