@article{JTNB_2022__34_2_619_0, author = {Chevallier, Nicolas}, title = {The natural extension of the {Gauss} map and the {Hermite} best approximations}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {619--636}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {34}, number = {2}, year = {2022}, doi = {10.5802/jtnb.1219}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.1219/} }