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Convergent series of integers with missing digits

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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 convergent harmonic series.

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  1. Lehman College (CUNY), Bronx, NY, 10468, USA

    Melvyn B. Nathanson

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  1. Melvyn B. Nathanson
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Correspondence to Melvyn B. Nathanson.

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Nathanson, M.B. Convergent series of integers with missing digits. Ramanujan J 58, 667–676 (2022). https://doi.org/10.1007/s11139-021-00444-5

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  • DOI: https://doi.org/10.1007/s11139-021-00444-5

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