@article{ASENS_2019__52_3_515_0, author = {Adamczewski, Boris and Bell, Jason P. and Delaygue, \'Eric}, title = {Algebraic independence of~$G$-functions and congruences {\textquotedblleft}\`a la {Lucas{\textquotedblright}}}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {515--559}, publisher = {Soci\'et\'e Math\'ematique de France. Tous droits r\'eserv\'es}, volume = {Ser. 4, 52}, number = {3}, year = {2019}, doi = {10.24033/asens.2392}, mrnumber = {3982874}, zbl = {1450.11075}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.2392/} }