Y. André, Series Gevrey de Type Arithmetique, I. Theoremes de Purete et de Dualite, The Annals of Mathematics, vol.151, issue.2, pp.705-740, 2000.
DOI : 10.2307/121045

]. N. Arc03 and . Archinard, Exceptional sets of hypergeometric series, J. Number Theory, vol.101, issue.2, pp.244-269, 2003.

]. F. Beu93 and . Beukers, Algebraic values of G-functions, J. reine angew, Math, vol.434, pp.45-65, 1993.

F. Beukers, A refined version of the Siegel???Shidlovskii theorem, Annals of Mathematics, vol.163, issue.1, pp.369-379, 2006.
DOI : 10.4007/annals.2006.163.369

F. Beukers and G. Heckman, Monodromy for the hypergeometric function nFn?1, Invent. math. 95, pp.325-354, 1989.

E. Bombieri, On G-functions, Recent progress in analytic number theory, pp.1-67, 1979.

G. V. Chudnovky, On applications of diophantine approximations, Proceedings of the National Academy of Sciences, vol.81, issue.22, pp.7261-7265, 1984.
DOI : 10.1073/pnas.81.22.7261

T. [. Fischler, On the values of $G$-functions, Commentarii Mathematici Helvetici, vol.89, issue.2, pp.313-341, 2014.
DOI : 10.4171/CMH/321

URL : https://hal.archives-ouvertes.fr/hal-00581002

]. A. Gal74 and . Galochkin, Lower bounds of polynomials in the values of a certain class of analytic functions, Mat. Sb. (N.S.), vol.95, issue.137, pp.396-417, 1974.

Y. V. Nesterenko and A. B. Shidlovskii, Linear independence of values of $ E$-functions, Sbornik: Mathematics, vol.187, issue.8, pp.1197-1211, 1996.
DOI : 10.1070/SM1996v187n08ABEH000152

]. L. Sla66 and . Slater, Generalized Hypergeometric Functions, 1966.