On certain statistical properties of continued fractions with even and with odd partial quotients

Mathematics – Number Theory

Scientific paper

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18 pages. Included version. Also discusses the nearest integer continued fraction

Scientific paper

We prove results concerning the joint limiting distribution of the renewal
time of denominators and consecutive digits of random irrational numbers in the
case of continued fractions with even partial quotients, with odd partial
quotients, and for the nearest integer continued fraction.

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