Diophantine approximation and run-length function on β-expansions
Author:
Funder
NSFC
Publisher
Elsevier BV
Subject
Algebra and Number Theory
Reference22 articles.
1. Expansions in integer bases and exponents of Diophantine approximation;Amou;J. Lond. Math. Soc.,2010
2. Uniform Diophantine approximation related to β-ary and β-expansion;Bugeaud;Ergodic Theory Dynam. Systems,2014
3. Distribution of full cylinders and the Diophantine properties of the orbits in β-expansions;Bugeaud;J. Fractal Geom.,2014
4. The run-length function of the β-expansion of the unit;Cao;Int. J. Number Theory,2017
5. On a new law of large numbers;Erdös;J. Anal. Math.,1970
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Run-length function of the beta-expansion of a fixed real number;Journal of Number Theory;2024-03
2. Maximal run-length function with constraints: a generalization of the Erdős–Rényi limit theorem and the exceptional sets;Monatshefte für Mathematik;2023-11-13
3. APPROXIMATION ORDERS OF A REAL NUMBER IN A FAMILY OF BETA-DYNAMICAL SYSTEMS;Fractals;2023-01
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