3 problems

A positive integer $n$ is deficient when its proper-divisor sum is less than $n$, and it is KL-primitive when ${\rm KL}(n)\geq 0$ while ${\rm KL}(d)<0$ for every proper divisor $d$…

Let $P_{\beta}$ be the exchangeable Dirichlet-driven length-variable process, let $P'$ be the geometric process, and let $D_{\theta}(\beta)$ denote the expectation of the Kullback–…

Let $P_{\beta}$ and $P'$ denote the exchangeable stick-breaking process with parameter $\beta$ and the geometric process, respectively, and let $D_{\theta}(\beta)$ denote the expec…