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Mathematics  2015 

Intersections of multiplicative translates of $3$-adic Cantor sets II: two infinite families

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Abstract:

This paper continues the study of the structure of finite intersections of general multiplicative translates $\mathcal{C}(M_1,\ldots,M_n)=\frac{1}{M_1}\Sigma_{3,\bar{2}}\cap\cdots\cap\frac{1}{M_n}\Sigma_{3,\bar{2}}$ for integers $1\leq M_1<\cdots

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