Convergence of Subseries of the Harmonic Series and Asymptotic Densities of Sets of Positive Integers
Barry_J. Powell, Tibor Šal{á}t
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