@Article{Zaccagnini1996, Author = "A. Zaccagnini", Title = "On the {S}elberg integral via {H}eath-{B}rown's identity", Journal = "Riv. Mat. Univ. Parma", Volume = "5 (5)", Pages = "205--212", Year = 1996, Abstract = "We prove the well-known estimate $J(X,h) = \odi{Xh^2}$ for the Selberg integral $$ J(X,h) := \int_X^{2X} \bigl| \psi(t) - \psi(t-h) - h \bigr| ^2 \, dt $$ when $h\ge X^{1/6+\eps}$, by means of Heath-Brown's identity." }