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find-S-p-1-q-1-and-D-p-q-1-1-p-2-q-2-




Question Number 30482 by abdo imad last updated on 22/Feb/18
find  S= Σ_(p≥1,q≥1 and D^� (p,q)=1)   (1/(p^2 q^2 )) .
$${find}\:\:{S}=\:\sum_{{p}\geqslant\mathrm{1},{q}\geqslant\mathrm{1}\:{and}\:\hat {{D}}\left({p},{q}\right)=\mathrm{1}} \:\:\frac{\mathrm{1}}{{p}^{\mathrm{2}} {q}^{\mathrm{2}} }\:. \\ $$

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