@article{JEP_2017__4__1_0, author = {Dmitry Dolgopyat and Bassam Fayad and Ilya Vinogradov}, title = {Central limit theorems for simultaneous {Diophantine} approximations}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {1--35}, publisher = {\'Ecole polytechnique}, volume = {4}, year = {2017}, doi = {10.5802/jep.37}, zbl = {1387.60046}, mrnumber = {3583273}, language = {en}, url = {https://jep.centre-mersenne.org/articles/10.5802/jep.37/} }