论文标题

收敛系列的整数缺少数字

Convergent series of integers with missing digits

论文作者

Nathanson, Melvyn B.

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谐波系列的积极整数的“缺失数字”集。

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 convergent harmonic series.

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