Geodesic
On the Mean Square of the Riemann Zeta Function and the Divisor Problem
Publications de l'Institut Mathématique, _N_S_83 (2008) no. 97, p. 71 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
DOI : 10.2298/PIM0897071Y
Classification : 11M06 11N37 11L07 
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     author = {Yifan Yang},
     title = {On the {Mean} {Square} of the {Riemann} {Zeta} {Function} and the {Divisor} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {71 },
     year = {2008},
     volume = {_N_S_83},
     number = {97},
     doi = {10.2298/PIM0897071Y},
     zbl = {1247.11109},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0897071Y/}
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Yifan Yang. On the Mean Square of the Riemann Zeta Function and the Divisor Problem. Publications de l'Institut Mathématique, _N_S_83 (2008) no. 97, p. 71 . doi: 10.2298/PIM0897071Y

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