%0 Journal Article %A Huw Jones %T Khinchin's theorem in $k$ dimensions with prime numerator and denominator %J Acta Arithmetica %D 2001 %P 205-225 %V 99 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa99-3-1/ %R 10.4064/aa99-3-1 %G en %F 10_4064_aa99_3_1