Periodic Monotonic Characteristic Series

GENERA

Periodic monotonic characteristic series of natural numbers repeated r times (starting from 1)

\displaystyle \sum_{n\geq1} \chi\left(\bigg\lfloor\frac{n+r-1}{r}\bigg\rfloor\right) = \displaystyle \sum_{n\geq1} r = -\dfrac{r}{2}   (unstable)

r+r+r+r+r+r+\cdots = -\dfrac{r}{2}   (unstable)

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