%0 Journal Article %A Huaning Liu %A Wenguang Zhai %T The equation $n_1n_2=n_3n_4$, the gcd-sum function and the mean values of certain character sums %J Acta Arithmetica %D 2012 %P 137-157 %V 152 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa152-2-2/ %R 10.4064/aa152-2-2 %G en %F 10_4064_aa152_2_2