%0 Journal Article %A Yingchun Cai %A Minggao Lu %T On the upper bound for $\pi _{2}(x)$ %J Acta Arithmetica %D 2003 %P 275-298 %V 110 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa110-3-6/ %R 10.4064/aa110-3-6 %G en %F 10_4064_aa110_3_6