U. Zannier

activity

20002026

most citedComposite lacunary polynomials and the proof of a conjecture of Schinzel

35 citations · 163 across the 46 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 1 cited

D-finiteness, rationality, and height II: lower bounds over a set of positive density

Jason P. Bell, Khoa D. Nguyen, Umberto Zannier

We consider D-finite power series $f (z) = \sum a_{n} z^{n}$ with coefficients in a number field $K$ . We show that there is a dichotomy governing the behaviour of $h (a_{n})$ as a function o…

math.NT2022

Cyclotomic and abelian points in backward orbits of rational functions

Andrea Ferraguti, Alina Ostafe, Umberto Zannier

We prove several results on backward orbits of rational functions over number fields. First, we show that if $K$ is a number field, $ϕ \in K (x)$ and $α \in K$ then the extension of $…

math.NT2022

Bounded Generation by semi-simple elements: quantitative results

Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2

We prove that for a number field $F$ , the distribution of the points of a set $Σ \subset A_{F}^{n}$ with a purely exponential parametrization, for example a set of matrices bou…