Near-periodic Monotonic Characteristic Series

SECTIONS

Near-periodic monotonic characteristic series of natural numbers (starting from k+1 ∊ ℕ)

\displaystyle \sum_{n\geq k+1} \chi(n) = \displaystyle \sum_{\substack{n\geq 1 \\ k \text{ shifts}}} 1 = -\dfrac{1}{2} - k   (unstable)

\underbrace{0+\cdots+0}_{k \text{ zeros}}+1+1+1+1+1+1+1+1+\cdots = -\dfrac{1}{2} - k   (unstable)

Pages: 1 2 3 4