Daniel Vargas-Montoya

collaborators

2 papers

math.NT2025

On the Algebraic Independence of $E$ - and $G$ -Functions, I: A $p$ -adic Criterion

Let $K$ be a finite extension of $Q_{p}$ , and let $f_{1} (z), \dots, f_{m} (z) \in K [[z]]$ such that, for every $1 \leq i \leq m$ , $f_{i} (z)$ is a solution of a differential operato…

math.NT2025

On the Algebraic Independence of $E$ - and $G$ -Functions, II: An Effective Version

Daniel Vargas-Montoya

Let $K$ be a finite extension of $Q_{p}$ that is totally ramified over $Q_{p}$ . The set $M F (K)$ consists of power series in $1 + z K [[z]]$ that are s…

On the Algebraic Independence of E- and G-Functions, I: A p-adic Criterion

On the Algebraic Independence of E- and G-Functions, II: An Effective Version

On the Algebraic Independence of $E$ - and $G$ -Functions, I: A $p$ -adic Criterion

On the Algebraic Independence of $E$ - and $G$ -Functions, II: An Effective Version