B. Adamczewski, C. Faverjon, and ?. , Méthode de mahler, transcendance et relations linéaires : aspects effectifs
DOI : 10.5802/jtnb.1039

URL : http://jtnb.cedram.org/cedram-bin/article/JTNB_2018__30_2_557_0.pdf

, Méthode de mahler : relations linéaires, transcendance et applications aux nombres automatiques, Proc. London Math, pp.55-90, 2017.

, Mahler's method in several variables I. The theory of regular singular systems, preprint, p.65, 2018.

B. Adamczewski, T. Rivoal, and ?. , Exceptional values of E-functions at algebraic points " , to appear in Bull, p.pp

Y. André and ?. , Solution algebras of differential equations and quasi-homogeneous varieties: a new differential Galois correspondence, Annales scientifiques de l'??cole normale sup??rieure, vol.47, issue.2, pp.47-449, 2014.
DOI : 10.24033/asens.2218

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

L. Denis and ?. , Independance algebrique des derivees d'une periode du module de Carlitz, Journal of the Australian Mathematical Society, vol.315, issue.01, pp.8-18, 2000.
DOI : 10.1215/S0012-7094-95-08001-6

URL : https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B36FA19CE4F1CC9DF8D05441803C89DA/S1446788700001804a.pdf/div-class-title-independance-algebrique-des-derivees-d-une-periode-du-module-de-carlitz-div.pdf

, Indépendance algébrique de logarithmes en caractéristique p, Bull. Austral. Math. Soc, vol.74, pp.461-470, 2006.

D. Eisenbud and ?. , Commutative algebra. with a view toward algebraic geometry, Graduate Texts in Mathematics, vol.150, 1995.

G. Fernandes and ?. , Méthode de mahler en caractéristique non nulle : un analogue du théorème de Ku. Nishioka, p.pp
DOI : 10.5802/aif.3216

URL : https://aif.centre-mersenne.org/article/AIF_2018__68_6_2553_0.pdf

S. Fischler, T. Rivoal, and ?. , Th??orie arithm??tique des E-op??rateurs, Journal de l?????cole polytechnique ??? Math??matiques, vol.3, pp.31-65, 2016.
DOI : 10.5802/jep.28

A. Graham and ?. , Kronecker products and matrix calculus: with applications, 1981.

R. , Hartshorne ? Algebraic geometry, Graduate Texts in Mathematics, vol.52, 1977.

W. Krull and ?. , Parameterspezialisierung in Polynomringen, Archiv der Mathematik, vol.1, issue.1, pp.56-64, 1948.
DOI : 10.1007/BF02038208

, Parameterspezialisierung in Polynomringen. II. Das Grundpolynom, Arch. Math. (Basel), vol.1, pp.129-137, 1948.

?. Lang and . Algebra, Graduate Texts in Mathematics, vol.211, 2002.

S. and M. Lane, Modular Fields. I Separating Transcendence Bases, Duke Math. J, vol.5, pp.372-393, 1939.
DOI : 10.1007/978-1-4615-7831-4_7

Y. V. Nesterenko and A. B. , Linear independence of values of $E$-functions, Matematicheskii Sbornik, vol.187, issue.8, pp.93-108, 1996.
DOI : 10.4213/sm152

K. Nishioka and ?. , New approach in Mahler's method, J. Reine Angew. Math, vol.407, pp.202-219, 1990.

?. , M. Functions, and . Transcendence, Lecture Notes in Mathematics, vol.1631, 1996.

P. Philippon, Groupes de Galois et nombres automatiques, Journal of the London Mathematical Society, vol.20, issue.28, pp.92-596, 2015.
DOI : 10.1007/978-3-662-29244-0

URL : https://hal.archives-ouvertes.fr/hal-01230858

J. Roques and ?. , On the reduction modulo $p$ of Mahler equations, Tohoku Mathematical Journal, vol.69, issue.1, pp.69-55, 2017.
DOI : 10.2748/tmj/1493172128

URL : https://hal.archives-ouvertes.fr/hal-01983117

H. L. Schmid and ?. , Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteristik, J. Reine Angew. Math, vol.179, pp.5-15, 1938.

J. , Serre ? Corps locaux, Publications de l, 1968.

, De Gruyter Studies in Mathematics, vol.12, 1989.

J. H. , Silverman ? The arithmetic of elliptic curves, Graduate Texts in Mathematics, vol.106, 2009.

B. Singh and ?. , On the group of automorphisms of a function field of genus at least two, Journal of Pure and Applied Algebra, vol.4, issue.2, pp.205-229, 1974.
DOI : 10.1016/0022-4049(74)90022-X

, The University Series in Higher Mathematics II, 1960.