17 citations · 44 across the 7 of their papers we have counts for
7 papers
A strengthening of a theorem of Bourgain-Kontorovich-III
I. D. Kan
Zaremba's conjecture (1971) states that every positive integer number can be represented as a denominator (continuant) of a finit continued fraction with all partial quotients bein…
A reinforcement of the Bourgain-Kontorovich's theorem by elementary methods II
Dmitriy Frolenkov, Igor D. Kan
Zaremba's conjecture (1971) states that every positive integer number can be represented as a denominator (continuant) of a finite continued fraction $\frac{b}{d}=[d_1,d_2,...,…
A note on the reinforcement of the Bourgain-Kontorovich's theorem
Dmitriy Frolenkov, Igor D. Kan
Zaremba's conjecture (1971) states that every positive integer number can be represented as a denominator (continuant) of a finite continued fraction $\frac{b}{d}=[d_1,d_2,...,…
A reinforcement of the Bourgain-Kontorovich's theorem
Dmitriy Frolenkov, Igor D. Kan
Zaremba's conjecture (1971) states that every positive integer number can be represented as a denominator (continuant) of a finite continued fraction $\frac{b}{d}=[d_1,d_2,...,…
A reinforcement of the Bourgain-Kontorovich's theorem by elementary methods
Dmitriy Frolenkov, Igor D. Kan
Recently (in 2011) several new theorems concerning this conjecture were proved by Bourgain and Kontorovich. The easiest of them states that the set of numbers satisfying Zaremba's…
On a problem of Dobrowolski--Williams
Dmitriy Frolenkov
In this paper we prove new upper bounds for the sum , for a certain class of arithmetic functions . Our results improve the previous results of G. Bachma…