This article is cited in 5 papers

On Gauss–Kuz'min statistics for finite continued fractions

A. V. Ustinov

M. V. Lomonosov Moscow State University

Abstract: The article is devoted to finite continued fractions for numbers $a/b$ when integer points $(a,b)$ are taken from a dilative region. Properties similar to the Gauss–Kuz'min statistics are proved for these continued fractions.

UDC: 511.37+511.336

 English version: Journal of Mathematical Sciences (New York), 2007, 146:2, 5771–5781

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