On some mean value results involving $|ζ(1/2+it)|$

Details On some mean value results involving $|ζ(1/2+it)|$ On some mean value results involving $|ζ(1/2+it)|$

2003-05-14

arxiv.org/abs/math/0305192v2

Bulletin CXXVII Acad. Serbe 2003, Classe Sci. math. naturelles, Sciences math, No. 28, pp. 17-29

Mathematics

Number Theory

12 pages, only TeX formattin corrected

Scientific paper

Several problems involving $E(T)$ and $E_2(T)$, the error terms in the mean
square and mean fourth moment formula for $|\zeta(1/2+it)}$ are discussed. In
particular, it is proved that $$ \int_0^T E(t)E_2(t)dt \ll_ T^{7/4}(\log
T)^{7/2}(\log\log T). $$

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