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ON THE ARITHMETIC STRUCTURE OF RATIONAL NUMBERS IN THE CANTOR SET
IGOR E. SHPARLINSKI
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Source: Crossref
Published: Apr 27, 2020
DOI: 10.1017/s0004972720000386
Open original source ↗Source abstract
We obtain a lower bound on the largest prime factor of the denominator of rational numbers in the Cantor set. This gives a stronger version of a recent result of Schleischitz [‘On intrinsic and extrinsic rational approximation to Cantor sets’, Ergodic Theory Dyn. Syst. to appear] obtained via a different argument.
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