English

Some open problems concerning the convergence of positive series

Classical Analysis and ODEs 2012-01-26 v1

Abstract

We discuss some old results due to Abel and Olivier concerning the convergence of positive series and prove a set of necessary conditions involving convergence in density.

Keywords

Cite

@article{arxiv.1201.5156,
  title  = {Some open problems concerning the convergence of positive series},
  author = {Constantin P. Niculescu and Gabriel T. Prajitura},
  journal= {arXiv preprint arXiv:1201.5156},
  year   = {2012}
}