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
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 },
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/}
}
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 PB - mathdoc 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 %I mathdoc %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/