Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXIV, No. 32, pp. 13–32 (2007) 

Subconvexity for the Riemann zetafunction and the divisor problemM. N. Huxley and A. IvicSchool of Mathematics, University of Cardiff, 23 Senghenydd Road, Cardiff CF2 4AG, Great BritainKatedra Matematike RGFa, Universitet u Beogradu, Djusina 7, 11000 Beograd, Serbia Abstract: A simple proof of the classical subconvexity bound $\zt \ll_\e t^{1/6+\e}$ for the Riemann zetafunction 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. Keywords: The Riemann zetafunction, subconvexity, the divisor problem, mean square of $\zt$, exponent pairs, Bombieri–Iwaniec method Classification (MSC2000): 11M06, 11N37 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 23 Sep 2007. This page was last modified: 20 Jun 2011.
© 2007 Mathematical Institute of the Serbian Academy of Science and Arts
