Diego Marques

activity

20242026

collaborators

4 papers

math.NT2026

Algebraic values of transcendental power series with geometric coefficient moduli

Diego Marques

Let $I^» > 1$ be a real algebraic number. We construct continuum many power series $f (z) = \sum_{k \geq 0} a_{k} z^{k}$ of radius of convergence exactly one such that every nonzero coefficient…

math.NT2026

Arithmetical structure of sumset intersections

Diego Marques, Melvyn B. Nathanson

The $h$ -fold sumset of a set $A$ of integers is the set of all sums of $h$ not necessarily distinct elements of $A$ . Let $(A_{q})_{q = 1}^{\infty}$ be a strictly decreasing sequence of…

math.NT2025

Some results on asymptotic versions of Mahler's problems

Ricardo Francisco, Diego Marques

In this paper, we show the existence of a transcendental function $f \in Z {z}$ with coefficients that are almost all bounded such that $f$ and all its derivatives assume a…

math.NT2024

Algebraic periodic points of transcendental entire functions

David Krumm, Diego Marques, Carlos Gustavo Moreira +1

We prove the existence of transcendental entire functions $f$ having a property studied by Mahler, namely that $f (Q) \subseteq Q$ and $f^{-1}…