奇异的缺位整数收敛级数
Curious convergent series of integers with missing digits
摘要：
Kempner的一个经典定理指出缺少十进制数字的正整数的倒数之和收敛。这个结果被推广到更大的家庭的“失踪数字”集的正整数与收敛和发散的调和级数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
