On the distribution of prime denominators of the approximants for almost all real numbers

V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: We prove an asymptotic formula for the distribution of primes among the denominators of the approximants for almost all real numbers.

UDC: 511.37+511.33

MSC: 11K50, 11A55

Received: 29.06.2006

DOI: 10.4213/im1124

 English version: Izvestiya: Mathematics, 2008, 72:2, 265–282

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