α-Lu¨ roth展式若干度量性质
Some Metric Properties in α-Lu¨ roth Expansions
DOI: 10.12677/AAM.2020.91002, PDF,    科研立项经费支持
作者: 李碧璇, 兰 莎, 沈陆明：湖南农业大学信息科学技术学院，湖南 长沙
关键词: α-Lu¨ roth展式；“0-1”律；重对数律；α-Lu¨ roth Expansion； “0-1” Law； Iterated Logarithm Law
摘要: 对于α-Lüroth展式，在此篇文章我们研究了α-Lüroth展式的一些度量性质，获得了该展式数字“0-1”律，基于该结果，得到了相应的重对数律，进一步完善了该展式的度量性质。作为交错Lüroth展式的推广，该论文的结论包括了交错Lüroth的相应的结果。
Abstract: For the α-Lüroth expansion, some metric properties, such as “0-1” law, iterated logarithm law of the digits are studied in this paper. As the extension of alternating-Lüroth expansion, the conclusions in this paper include those of alternating-Lüroth case.
文章引用：李碧璇, 兰莎, 沈陆明. α-Lu¨ roth展式若干度量性质[J]. 应用数学进展, 2020, 9(1): 12-17. https://doi.org/10.12677/AAM.2020.91002

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