Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 5, Issue 2


Published
on

March 29, 2010


Pages

55-78


DOI

Article

Continued Fractions With Minimal Remainders


Authors

Elena Zhabitskaya Affiliation:
Department of Number Theory Faculty of Mechanics and Mathematics Lomonosov Moscow State University Vorobiovy Gory Moscow 119991 RUSSIA


Abstract

Consider the representation of a rational number as a continued fraction, 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.


Keywords

Continued fraction, “centered” Euclidean algorithm.


Citation

Zhabitskaya, E. (2010). Continued fractions with minimal remainders. Uniform Distribution Theory, 5(2), 55–78.

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