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On Certain Reciprocal Sums

Published 14 Jul 2018 in math.NT | (1807.05454v1)

Abstract: In this note we associate a sequence of non-negative integers to any convergent series of positive real numbers and study this sequence for the series $\sum_{n \geq 1} n{-k}$ where $k$ is an integer $\geq 2$.

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