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ON THE ARITHMETIC STRUCTURE OF RATIONAL NUMBERS IN THE CANTOR SET
Bulletin of the Australian Mathematical Society ( IF 0.6 ) Pub Date : 2020-04-27 , DOI: 10.1017/s0004972720000386
IGOR E. SHPARLINSKI

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.

中文翻译:

康托集中有理数的算术结构

我们得到了康托集中有理数分母的最大素因子的下界。这给出了 Schleischitz 最近结果的一个更强大的版本 ['关于康托集的内在和外在有理逼近',遍历理论 Dyn。系统。出现] 通过不同的论点获得。
更新日期:2020-04-27
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