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 $f(n)$ be an arithmetic function, let $p_n$ denote the $n$th prime, and let $\operatorname{idx}(p_n)=n$. Suppose that the Cesàro mean … exists. Prime-indexed Abelian limit conj…

Let $\mathbb{R}_+=(0,\infty)$, let $\mathcal{K}^{\infty}$ denote the class of functions that are completely convex, and let $\mathcal{D}^{\infty}_{\mathbb{N}}$ denote the class of…