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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 ...
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On a product involving Ramanujan primes

We denote the $k$th Ramanujan prime as $\mathcal{R}_k$, that is the sequence A104272 from the OEIS as you can read from this Wikipedia. Then I was inspired in Richard K. Guy, Unsolved Problems in ...
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