%0 Journal Article %A Dmitry Dolgopyat %A Bassam Fayad %A Ilya Vinogradov %T Central limit theorems for simultaneous Diophantine approximations %J Journal de l’École polytechnique — Mathématiques %D 2017 %P 1-35 %V 4 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.37/ %R 10.5802/jep.37 %G en %F JEP_2017__4__1_0