Seminars: D. A. Frolenkov, Zaremba conjecture

SEMINARS


Colloquium of 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
http://youtu.be/uPzSLZZMUd4 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.