Geodesic
Convergence of Subseries of the Harmonic Series and Asymptotic Densities of Sets of Positive Integers
Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 60

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We investigate the relation between the convergence of subseries $\sum_{n=1}^{\infty} m_n^{-1}$ of the harmonic series $\sum_{n=1}^{\infty}n^{-1}$ and the asymptotic densities $d(M)$ of sets $M=\{m_1
Classification : 11B99 
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     author = {Barry J. Powell and Tibor \v{S}al\'at},
     title = {Convergence of {Subseries} of the {Harmonic} {Series} and {Asymptotic} {Densities} of {Sets} of {Positive} {Integers}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {60 },
     publisher = {mathdoc},
     volume = {_N_S_50},
     number = {64},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a8/}
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Barry J. Powell; Tibor Šalát. Convergence of Subseries of the Harmonic Series and Asymptotic Densities of Sets of Positive Integers. Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 60 . http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a8/