2 problems

Let $\mathbb{N}^*$ denote the positive integers. For squarefree $s$, write … and for a function $f\colon\mathbb{N}^*\to\mathbb{C}$ define its average over the squarefree integers c…

Arithmetic kei coloring average-order conjecture. Let $\mathscr{K}\in\mathscr{K}\operatorname{ei}$ be finite. Then there exists $a_{\mathscr{K}}>0$ such that