%0 Journal Article %T Continued fractions with minimal remainders %A Elena Zhabitskaya %J Mathematics %D 2010 %I arXiv %X Consider the representation of a rational number in the form, associated with "centered" Euclidean algorithm. We prove a new formula for the limit distribution function for sequences of rationals with bounded sum of partial quotients. %U http://arxiv.org/abs/1002.2053v2