论文标题
奇怪的收敛系列整数缺少数字
Curious convergent series of integers with missing digits
论文作者
论文摘要
Kempner的经典定理指出,缺少小数位数的正整数的倒数总和收敛。该结果扩展到具有收敛性和发散谐波系列的积极整数的“缺失数字”集的大家庭。
A classical theorem of Kempner states that the sum of the reciprocals of positive integers with missing decimal digits converges. This result is extended to much larger families of "missing digits" sets of positive integers with both convergent and divergent harmonic series.