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APPROXIMATING NUMBERS OF THE CANTOR SET BY ALGEBRAIC NUMBERS
Bulletin of the Australian Mathematical Society, 2022AbstractWe consider the set of elements in a translation of the middle-third Cantor set which can be well approximated by algebraic numbers of bounded degree. A doubling dimensional result is given, which enables one to conclude an upper bound on the dimension of the set in question for a generic translation.
YUAN ZHANG, JIA LIU, SAISAI SHI
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