Three conditionally convergent series
Classical Analysis and ODEs
2018-12-05 v1
Abstract
It is proved that given any three conditionally convergent series of real numbers, there is a single sequence of natural numbers such that each of the corresponding three subseries sums to either or . An example is provided to show that the analogous statement for four series is false.
Cite
@article{arxiv.1809.02470,
title = {Three conditionally convergent series},
author = {Will Brian},
journal= {arXiv preprint arXiv:1809.02470},
year = {2018}
}