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1 vote
0 answers
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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 $...
James Threshold's user avatar
1 vote
2 answers
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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 ...
user759001's user avatar