Daniel Vargas-Montoya

activity

20222025

collaborators

4 papers

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…

math.NT2025

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

Daniel Vargas-Montoya

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.NT2023

$p$ -Integrality of canonical coordinates

Daniel Vargas-Montoya

Let $L$ be a differential operator with coefficients in $Q (z)$ of order $n \geq 2$ with maximal unipotent monodromy at zero. In this paper we are interested in determining w…

math.NT2022

Strong Frobenius structures associated with q-difference operators

Daniel Vargas-Montoya

The notion of strong Frobenius structure is classically studied in the theory of $p$ -adic differential operators. In the present work, we introduce a new definition of the notion o…

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

p-Integrality of canonical coordinates

Strong Frobenius structures associated with q-difference operators

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

$p$ -Integrality of canonical coordinates