On the intersections of the Besicovitch sets and exceptional sets in the Erdős–Rényi limit theorem
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Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10474-018-00904-3.pdf
Reference22 articles.
1. Barreira, L., Saussol, B., Schmeling, J.: Distribution of sequences of digits via multifractal analysis. J. Number Theory 97, 410–438 (2002)
2. Besicovitch, A.: On the sum of digits of real numbers represented in the dyadic system. Math. Ann. 110, 321–330 (1934)
3. Chen, H.B., Wen, Z.X.: The fractional dimensions of intersections of the Besicovitch sets and the Erdős–Rényi sets. J. Math. Anal. Appl. 401, 29–37 (2013)
4. Chen, H.B., Yu, M.: A generalization of the Erdős–Rényi limit theorem and the corresponding multifractal analysis. J. Number Theory 192, 307–327 (2018)
5. H. G. Eggleston, The fractional dimension of a set defined by decimal properties, Quart. J. Math., Oxford Ser., 20 (1949), 31–36
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1. On the intersections of exceptional sets in Borel’s normal number theorem and Erdös–Rényi limit theorem;International Journal of Number Theory;2020-10-09
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