Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiquesAcadémie Serbe des Sciences et des Arts, Beograd
Vol. CXXVII, No. 28, pp. 17-29 (2003)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques Académie Serbe des Sciences et des Arts, Beograd Vol. CXXVII, No. 28, pp. 17-29 (2003) |
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On some mean value results involving $|\zeta({\textstyle{1\over2}} + it)|$A. IvicKatedra za matematiku RGF-a, Univerzitet u Beogradu, Dju\v sina 7, 11000 Beograd, Serbia and Montenegro, aivic@rgf.bg.ac.yu, aivic@matf.bg.ac.yuAbstract: Several problems involving $E(T)$ and $E_2(T)$, the error terms in the mean square and mean fourth moment formula for $|\zt|$, are discussed. In particular it is proved that $$ \int_0^T E(t)E_2(T)\d t \ll T^{7/4}(\log T)^{7/2}\log\log T. $$ Keywords: Riemann zeta-function, mean square, mean fourth power, Hecke series Classification (MSC2000): 11M06; 11F72, 11F66, 11M41 Full text of the article:
Electronic version published on: 17 Dec 2003. This page was last modified: 17 Dec 2003.
© 2003 Mathematical Institute of the Serbian Academy of Science and Arts
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