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
Cet article a éte moissonné depuis 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.
@article{BASS_2007_32_1_a1,
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 - 32},
year = {2007},
volume = {32},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a1/}
}
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%0 Journal Article %A M. N. Huxley %A A. Ivić %T Subconvexity for the Riemann zeta-function and the divisor problem %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2007 %P 13 - 32 %V 32 %N 1 %U http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a1/ %F BASS_2007_32_1_a1
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/