Publications de l'Institut Mathématique, Nouvelle SérieVol. 83(97), pp. 71–86 (2008)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 83(97), pp. 71–86 (2008) |
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ON THE MEAN SQUARE OF THE RIEMANN ZETA FUNCTION AND THE DIVISOR PROBLEMYifan YangDepartment of Applied Mathematics, National Chiao Tung University, Hsinchu, TaiwanAbstract: Let $\Delta(T)$ and $E(T)$ be the error terms in the classical Dirichlet divisor problem and in the asymptotic formula for the mean square of the Riemann zeta function on the critical strip, respectively. We show that $\Delta(T)$ and $E(T)$ are asymptotic integral transforms of each other. We then use this integral representation of $\Delta(T)$ to give a new proof of a result of M. Jutila. Classification (MSC2000): 11M06, 11N37; 11L07 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 21 Oct 2008. This page was last modified: 10 Dec 2008.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
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