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Abstract: We study the convergence of certain subseries of the harmonic seriescorresponding to increasing sequences of integers whose digits in a certainbase are not uniformly distributed. We also discuss the case of irregularsequences, where the frequency distribution of some of the digits does notexist. Examples are given for irregular sequences where the correspondingharmonic subseries is convergent, or divergent, respectively.



Autor: Gabor Korvin

Fuente: https://arxiv.org/



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