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Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
February 28, 2013 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Zaremba conjecture

D. A. Frolenkov

Steklov Mathematical Institute of the Russian Academy of Sciences
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D. A. Frolenkov
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Abstract: Zaremba conjecture states that every positive integer can be represented as a denominator of a finite continued fraction with all partial quotients being bounded by a constant $A$. In the talk, both classical and recent results by Bourgain and Kontorovich concerning Zaremba conjecture will be presented. Also new methods for improving the constant $A$ in these theorems will be discussed.

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