On some mean value results involving $|ζ(1/2+it)|$
Abstract
Description
Several problems involving $E(T)$ and $E_2(T)$, the error terms in the mean square and mean fourth moment formula for $|ζ(1/2+it)}$ are discussed. In particular, it is proved that $$ \int_0^T E(t)E_2(t)dt \ll_ T^{7/4}(\log T)^{7/2}(\log\log T). $$
12 pages, only TeX formattin corrected
12 pages, only TeX formattin corrected