D. Montoya

collaborators

2 papers

math.NT2022

Algebraicity modulo p of generalized hypergeometric series $_{n} F_{n - 1}$

Daniel Vargas Montoya

Let $f (z) =_{n} F_{n - 1} (α, β)$ be the hypergeometric series with parameters $α = (α_{1}, \dots, α_{n})$ and $β = (β_{1}, \dots, β_{n - 1}, 1)$ in $(\mathbb{Q}\cap(0,1…

math.NT2021

Maximal Unipotent Monodromy, congruences "à la Lucas" and Algebraic independence

Daniel Vargas Montoya

Let $f (z)$ be in $1 + z Q [[z]]$ and $S$ be an infinite set of prime numbers such that, for all $p \in S$ , we can reduce $f (z)$ modulo $p$ . We let $f(z)_{\mi…

Algebraicity modulo p of generalized hypergeometric series n​Fn−1​

Maximal Unipotent Monodromy, congruences "à la Lucas" and Algebraic independence

Algebraicity modulo p of generalized hypergeometric series $_{n} F_{n - 1}$