Geodesic
Subconvexity for the Riemann zeta-function and the divisor problem
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1 
M. N. Huxley; A. Ivić. Subconvexity for the Riemann zeta-function and the divisor problem. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1. http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a1/
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A simple proof of the classical subconvexity bound $\zt \ll_\e t^{1/6+\e}$ for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The connections between the Dirichlet divisor problem and the mean square of $|\zt|$ are analysed.