3 problems

Analyticity criterion for C-Summation. If this series is analytic at $-\frac{k_2}{k_1}$, then $I_n$ is suitable for C-Summation.

Let $\omega$ denote an infinite hyperreal, and consider evaluating infinite series by discrete integral formulas. An additive offset of $\omega$ is an infinite index whose parity i…

Let … where $k\in\mathbb{N}_0$ and $x\in\mathbb{N}\setminus\{1\}$. Invariant rational summation conjecture. The sum of $S_{k,x}$ is a rational number if and only if $k=x=1$. The su…