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Subset of natural numbers with largest amount of divisors
Let $n, k \in \mathbb{N}$, with $k \le n$.
Which $k$ natural numbers not greater than $n$ have the largest amount of divisors altogether?
Formally, let $D(x)$ be the set of positive divisors of some $...
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Equations involving particular values of the Dedekind psi function and powers of the kernel function
In this post we denote the Dedekind psi function as $\psi(m)$ for integers $m\geq 1$. As reference I add the Wikipedia Dedekind psi function, and [1]. One has the definition $\psi(1)=1$, and that the ...