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On Assouad Dimension and Arithmetic Progressions in Sets Defined by Digit Restrictions |
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| Authors: | Li Jinjun Wu Min Xiong Ying |
| Institution: | 1.School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, People’s Republic of China ;2.Department of Mathematics, South China University of Technology, Guangzhou, 510641, People’s Republic of China ; |
| Abstract: | Journal of Fourier Analysis and Applications - We show that the set defined by digit restrictions contains arbitrarily long arithmetic progressions if and only if its Assouad dimension is one.... |
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