%0 Journal Article %A Jean Bourgain %A Todd Cochrane %A Jennifer Paulhus %A Christopher Pinner %T On the parity of $k$-th powers modulo $p$. A generalization of a problem of Lehmer %J Acta Arithmetica %D 2011 %P 173-203 %V 147 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa147-2-6/ %R 10.4064/aa147-2-6 %G en %F 10_4064_aa147_2_6