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
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
@article{PIM_1991_N_S_50_64_a8,
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 },
year = {1991},
volume = {_N_S_50},
number = {64},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a8/}
}
TY - JOUR AU - Barry J. Powell AU - Tibor Šalát TI - Convergence of Subseries of the Harmonic Series and Asymptotic Densities of Sets of Positive Integers JO - Publications de l'Institut Mathématique PY - 1991 SP - 60 VL - _N_S_50 IS - 64 UR - http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a8/ LA - en ID - PIM_1991_N_S_50_64_a8 ER -
%0 Journal Article %A Barry J. Powell %A Tibor Šalát %T Convergence of Subseries of the Harmonic Series and Asymptotic Densities of Sets of Positive Integers %J Publications de l'Institut Mathématique %D 1991 %P 60 %V _N_S_50 %N 64 %U http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a8/ %G en %F PIM_1991_N_S_50_64_a8
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/