Khinchin's Constant is a mathematical constant approximately equal to 2.685452, arising in number theory and ergodic theory. It emerges from the study of continued fractions and the distribution of their partial quotients, highlighting the relationship between dynamical systems and number theory. Khinchin's Constant serves as a bridge connecting the probabilistic aspects of continued fractions and their behavior in various mathematical contexts, illustrating both ergodic and non-ergodic phenomena.
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