@article{JTNB_2011__23_3_541_0, author = {Berthomieu, J\'er\'emy and van der Hoeven, Joris and Lecerf, Gr\'egoire}, title = {Relaxed algorithms for $p$-adic numbers}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {541--577}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {23}, number = {3}, year = {2011}, doi = {10.5802/jtnb.777}, zbl = {1247.11152}, mrnumber = {2861075}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jtnb.777/} }