THE MULTIFRACTAL SPECTRUM OF CONTINUED FRACTIONS WITH NONDECREASING PARTIAL QUOTIENTS
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DOI: 10.1017/s0004972724001011
Abstract: Let $[a_1(x),a_2(x),\ldots ,a_n(x),\ldots ]$ be the continued fraction expansion of $x\in [0,1)$ and $q_n(x)$ be the denominator of its nth convergent. The irrationality exponent and Khintchine exponent of x are respectively defined by $$ \begin{align*}… read more here.
Keywords: fractions nondecreasing; nondecreasing partial; log; partial quotients ... See more keywords