Studies convergence exponents in continued fractions, revealing their multifractal spectrum implications.
Let [Formula: see text] be the continued fraction expansion of [Formula: see text]. In this paper, for any [Formula: see text], we study the multifractal spectrum of the convergence exponent of the weighted product of consecutive partial quotients [Formula: see text] defined by [Formula: see text] The weighted products of more than two consecutive partial quotients is also discussed.
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Song et al. (2026) studied this question.
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