Francesco Cellarosi

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A classical result of Khinchin says that for almost all real numbers α, the geometric mean of the first n digits a i (α) in the continued fraction expansion of α converges to a number K ≈ 2.6854520. .. (Khinchin's constant) as n → ∞. On the other hand, for almost all α, the arithmetic mean of the first n continued fraction digits a i (α) approaches infinity(More)
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