Let $x \in (0,1)$ be a real number with continued fraction expansion $[a_1(x),a_2(x),$ $ a_3(x),\cdots]$. This paper is concerned with the multifractal spectrum of the convergence exponent of $\{a_n(x)\}_{n \geq 1}$ defined by \[\tau(x):=\inf\bigg\{s \geq 0:\sum_{n \geq 1} a^{-s}_n(x)<\infty\bigg\}. \]
Lulu FANG
,
Jihua MA
,
Kunkun SONG
,
Min WU
. MULTIFRACTAL ANALYSIS OF THE CONVERGENCE EXPONENT IN CONTINUED FRACTIONS[J]. Acta mathematica scientia, Series B, 2021
, 41(6)
: 1896
-1910
.
DOI: 10.1007/s10473-021-0607-1
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