2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69238Estimates for $Z_2(s) = \int_1^|infty |ζ(1/2+ix)|^4x^{-s}dx (\Re s > 1)$ are discussed, both pointwise and in mean square. It is shown how these estimates can be used to bound $E_2(T)$, the error term in the asymptotic formula for $\int_0^T |ζ(1/2+it)|^4dt$.Number Theory11M06, 11F72text