New dimension bounds for αβ sets
نویسندگان
چکیده
In this paper we obtain new lower bounds for the upper box dimension of αβ sets. As a corollary our main result, show that if α is not Liouville number and β number, then any set 1. We also use to results on affine embeddings self-similar
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2021.04.018