PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 50(64) Preimenovati datoteke, proveriti paginaciju!!!, pp. 6070 (1991) 

Convergence of subseries of the harmonic series and asymptotic densities of sets of positive integersBarry J. Powell and Tibor {\v S}al{á}tBarry J. Powell\hfill(Received 02 10 1990) 230 Market Street Kirkland, Washington 98033, U.S.A. \msk Tibor {\v S}al{á}t Univerzita Komenskeho Matematickefyzikalna fakulta Katedra algebry a t{é}orie {\v c}{í}siel BratislavaMlynsk{á} dolina 842 15, CzechoslovakiaAbstract: We investigate the relation between the convergence of subseries $\sum_{n=1}^{\bb} m_n^{1}$ of the harmonic series $\sum_{n=1}^{\bb}n^{1}$ and the asymptotic densities $d(M)$ of sets $M=\za{m_1 Classification (MSC2000): 11B99 Full text of the article:
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