%0 Journal Article %A A. A. Illarionov %T A~multidimensional generalization of Heilbronn's theorem on the average length of a~finite continued fraction %J Sbornik. Mathematics %D 2014 %P 419-431 %V 205 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2014_205_3_a4/ %G en %F SM_2014_205_3_a4