%0 Journal Article %T Continued fractions with minimal remainders %A Elena Zhabitskaya %J Uniform Distribution Theory %D 2010 %I Mathematical Institute of the Slovak Academy of Sciences %X Consider the representation of a rational number as a continued fraction, associated with ¡°centered¡± Euclidean algorithm. We prove a new formulafor the limit distribution function for sequences of rationals with bounded sum of partial quotients. %K Continued fraction %K ¡° centered¡± Euclidean algorithm %U http://www.boku.ac.at/MATH/udt/vol05/no2/3Zhabitsk10-2.pdf