Geodesic
On the integral of Hardy's function $Z(t)$
Izvestiya. Mathematics, Tome 72 (2008) no. 3, pp. 429-478 
M. A. Korolev. On the integral of Hardy's function $Z(t)$. Izvestiya. Mathematics, Tome 72 (2008) no. 3, pp. 429-478. http://geodesic.mathdoc.fr/item/IM2_2008_72_3_a1/
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     title = {On the integral of {Hardy's} function $Z(t)$},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2008_72_3_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove asymptotic formulae for the values of the integral of Hardy's function $Z(t)$ at special points and obtain an omega-theorem and an upper bound for the integral of $Z(t)$ that are sharp with respect to the rate of growth.

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