Continued fractions with minimal remainders

Details Continued fractions with minimal remainders Continued fractions with minimal remainders

2010-02-10

arxiv.org/abs/1002.2053v2

Mathematics

Number Theory

Scientific paper

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.

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