Geodesic
On the distribution of prime denominators of the approximants for almost all real numbers
Izvestiya. Mathematics , Tome 72 (2008) no. 2, pp. 265-282

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We prove an asymptotic formula for the distribution of primes among the denominators of the approximants for almost all real numbers. 
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     author = {V. A. Bykovskii},
     title = {On the distribution of prime denominators of the approximants for almost all real numbers},
     journal = {Izvestiya. Mathematics },
     pages = {265--282},
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     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2008_72_2_a2/}
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V. A. Bykovskii. On the distribution of prime denominators of the approximants for almost all real numbers. Izvestiya. Mathematics , Tome 72 (2008) no. 2, pp. 265-282. http://geodesic.mathdoc.fr/item/IM2_2008_72_2_a2/