The relative growth rate for partial quotients in continued fractions

Bo Tan, Qing-Long Zhou

Type: Article

Publication Date: 2019-05-21

Citations: 17

DOI: https://doi.org/10.1016/j.jmaa.2019.05.029

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Locations

Journal of Mathematical Analysis and Applications - View

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+	The growth speed for the product of consecutive digits in Lüroth expansions	2022	Qinglong Zhou
+	Baire category and the relative growth rate for partial quotients in continued fractions	2023	Xinyi Chang Yihan Dong Ming Liu Lei Shang
+ PDF Chat	The relative growth rate for the digits in Lüroth expansions	2020	Xiaoyan Tan Zhenliang Zhang
+	A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS	2021	Lingling Huang Chao Ma
+	Dimension theory of the product of partial quotients in Lüroth expansions	2020	Bo Tan Qing-Long Zhou
+	EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS	2021	Yan Feng Bo Tan Qing-Long Zhou
+	Dimension theory of Lüroth digits	2023	Yuming Feng Qiang Zhou
+ PDF Chat	THE MULTIFRACTAL SPECTRUM OF CONTINUED FRACTIONS WITH NONDECREASING PARTIAL QUOTIENTS	2024	Kunkun Song Xiaoyan Tan Zhenliang Zhang
+	Approximation properties of Lüroth expansions	2020	Bo Tan Qing-Long Zhou
+ PDF Chat	Best approximation of orbits in iterated function systems	2021	Saisai Shi Bo Tan Qing-Long Zhou

Works Cited by This (11)

Action	Title	Year	Authors
+	The fractional dimensional theory of continued fractions	1941	I. J. Good
+ PDF Chat	Zur Theorie der diophantischen Approximationen	1932	Vojtěch Jarník
+	On sums of partial quotients in continued fraction expansions	2008	Jian Xu
+	Sets of exact approximation order by rational numbers	2003	Yann Bugeaud
+	A dimensional result in continued fractions	2013	Yu Sun Jun Wu
+	Quantitative Poincaré recurrence in continued fraction dynamical system	2011	Peng Li Bo Tan BaoWei Wang
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer
+ PDF Chat	On Khintchine exponents and Lyapunov exponents of continued fractions	2008	Aihua Fan Lingmin Liao Baowei Wang Jun Wu
+	A generalization of the Jarník–Besicovitch theorem by continued fractions	2015	Baowei Wang Jun Wu Jian Xu
+ PDF Chat	On the fast Khintchine spectrum in continued fractions	2013	Aihua Fan Lingmin Liao Baowei Wang Jun Wu