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arXiv · 2006.13345

Curious convergent series of integers with missing digits

Melvyn B. Nathanson
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Abstract

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.

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Melvyn B. Nathanson. 2020-06-23. Curious convergent series of integers with missing digits. https://arxiv.org/abs/2006.13345

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