Marzio Mula

activity

20232025

collaborators

4 papers

math.NT2025

If a machine did it, it is probably transcendental (even $p$ -adically)

Laura Capuano, Sara Checcoli, Marzio Mula +1

Continued fraction expansions provide a well-established bridge between algebraic properties of numbers and combinatorics on words. In this article, we investigate the algebraicity…

math.NT2024

The Hessian of elliptic curves as a Lattès map

Marzio Mula, Federico Pintore, Daniele Taufer

We prove that the Hessian transformation of elliptic curves, both as an action on $j$ -invariants and on the Hesse pencil, is a rigid Lattès map fitting into a reduced diagram, henc…

math.NT2024

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 $Q_{p}$ , we study $p$ -adically convergent periodic continued fractions with parti…

math.NT2023

On $P$ -adic continued fractions with extraneous denominators: some explicit finiteness results

Laura Capuano, Sara Checcoli, Marzio Mula +1

Let $K$ be a number field. We show that, up to allowing a finite set of denominators in the partial quotients, it is possible to define algorithms for $P$ -adic continued…

If a machine did it, it is probably transcendental (even p-adically)

The Hessian of elliptic curves as a Lattès map

p-Adically convergent loci in varieties arising from periodic continued fractions

On P-adic continued fractions with extraneous denominators: some explicit finiteness results

If a machine did it, it is probably transcendental (even $p$ -adically)

On $P$ -adic continued fractions with extraneous denominators: some explicit finiteness results