B. Adamczewski and J. P. Bell, A problem about mahler functions, Ann. Sc. Norm. Super. Pisa
URL : https://hal.archives-ouvertes.fr/hal-02091804

B. Adamczewski and C. Faverjon, Méthode de Mahler: relations linéaires, transcendance et applications aux nombres automatiques, Proc. Lond. Math. Soc, issue.3, p.115, 2017.
DOI : 10.1112/plms.12038
URL : http://arxiv.org/pdf/1508.07158

J. Allouche and J. Shallit, The ring of k-regular sequences, Theoret. Comput. Sci, vol.98, issue.2, pp.163-197, 1992.

P. Becker, k-regular power series and Mahler-type functional equations, J. Number Theory, vol.49, issue.3, pp.269-286, 1994.
DOI : 10.1006/jnth.1994.1093
URL : https://doi.org/10.1006/jnth.1994.1093

J. P. Bell and M. Coons, Transcendence tests for Mahler functions, Proc. Amer. Math. Soc, vol.145, issue.3, 2017.

R. P. Brent, M. Coons, and W. Zudilin, Algebraic independence of Mahler functions via radial asymptotics, Int. Math. Res. Not. IMRN, issue.2, pp.571-603, 2016.

P. Bundschuh and K. Väänänen, Guided by Schwarz' functions: a walk through the garden of Mahler's transcendence method, From arithmetic to zeta-functions, pp.91-101, 2016.

M. Coons, Zero order estimates for Mahler functions, New Zealand J. Math, vol.46, pp.83-88, 2016.

. Ph and . Dumas, MR 1252426 10. , Récurrences mahlériennes, suites automatiques, ´ etudes asymptotiques, Institut National de Recherche en Informatique et en Automatique (INRIA), vol.700, pp.457-468, 1993.

A. Goto and T. Tanaka, Algebraic independence of the values of functions satisfying Mahler type functional equations under the transformation represented by a power relatively prime to the characteristic of the base field, J. Number Theory, vol.184, 2018.

T. Kisielewski, Criteria for regularity of Mahler power series and Becker's conjecture, J. Number Theory, vol.174, pp.456-486, 2017.

J. H. Loxton and A. J. Van-der-poorten, Arithmetic properties of the solutions of a class of functional equations, J. Reine Angew. Math, vol.330, pp.57-69, 1982.

K. Nishioka, New approach in Mahler's method, MR 1048535 16. , Mahler functions and transcendence, vol.407, pp.202-219, 1990.

P. Philippon, Groupes de Galois et nombres automatiques, pp.596-614, 2015.
DOI : 10.1112/jlms/jdv056
URL : https://hal.archives-ouvertes.fr/hal-01230858

J. Roques, On the reduction modulo p of Mahler equations, Trans. Amer. Math. Soc, vol.370, issue.2, pp.321-355, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01983117