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arXiv · 1809.02470

Three conditionally convergent series

Will Brian
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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 $\infty$ or $-\infty$. An example is provided to show that the analogous statement for four series is false.

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Will Brian. 2018-09-07. Three conditionally convergent series. https://doi.org/10.1112/blms.12226

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