Continued fractions with minimal remainders

Abstract

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.

References in corpus (1)

• Differentiability of the Minkowski question mark function

Cited by in corpus (1)

• On some open problems in Diophantine approximation