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On the calculation of an integral introduced by Hubert Delange
In his paper, ''Sur la distribution des fractions irréductibles de dénominateur $n$ ou de dénominateur au plus égal à $x$'', Hubert Delange considers the family integrals defined by \begin{equation*} \int_0^1\left(\frac{N(n,t)}{ϕ(n)}-t\right)^{2q}dt, \end{equation*} where $n>1$ and $q>0$ are posit
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