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arxiv: 1809.02470 · v1 · pith:FBHJXA6Onew · submitted 2018-09-07 · 🧮 math.CA

Three conditionally convergent series

classification 🧮 math.CA
keywords seriesthreeconditionallyconvergentinftynumbersanalogouscorresponding
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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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