G. Lepetit

most citedOn the linear independence of values of

G

-functions

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2021

Le théorème d'André-Chudnovsky-Katz

Gabriel Lepetit

The subject of this Master 2 thesis is the study of the André-Chudnovsky-Katz theorem on the structure of the solution of the nonzero differential equation of minimal order with co…

math.NT2021★ 2 cited

Quantitative problems on the size of $G$ -operators

Gabriel Lepetit

$G$ -operators, a class of differential operators containing the differential operators of minimal order annihilating Siegel's $G$ -functions, satisfy a condition of moderate growth…

math.NT2021★ 3 cited

On the linear independence of values of $G$ -functions

Gabriel Lepetit

We consider a $G$ -function $F (z) = \sum_{k = 0}^{\infty} A_{k} z^{k} \in K [[z]]$ , where $K$ is a number field, of radius of convergence $R$ and annihilated by the $G$ -ope…

Le théorème d'André-Chudnovsky-Katz

Quantitative problems on the size of G-operators

On the linear independence of values of G-functions

Quantitative problems on the size of $G$ -operators

On the linear independence of values of $G$ -functions