Abstract
We provide an explicit construction of elements of the middle third Cantor set with any prescribed irrationality exponent. This answers a question posed by Kurt Mahler.
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Bugeaud, Y. Diophantine approximation and Cantor sets. Math. Ann. 341, 677–684 (2008). https://doi.org/10.1007/s00208-008-0209-4
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DOI: https://doi.org/10.1007/s00208-008-0209-4