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), p. 13 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
Classification : 11M06 11N37
Keywords: The Riemann zeta-function, subconvexity, the divisor problem, mean square of $|\zt|$, exponent pairs, Bombieri--Iwaniec method 
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     author = {M. N. Huxley and A. Ivi\'c},
     title = {Subconvexity for the {Riemann} zeta-function and the divisor problem},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {13 },
     year = {2007},
     volume = {32},
     language = {en},
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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), p. 13 . http://geodesic.mathdoc.fr/item/BASS_2007_32_a1/