On the estimation of Z2(s)
Aleksandar Ivić
Abstract
Estimates for Z2(s) = ∫1|infty |ζ(1/2+ix)|4x-sdx ( s > 1) are discussed, both pointwise and in mean square. It is shown how these estimates can be used to bound E2(T), the error term in the asymptotic formula for ∫0T |ζ(1/2+it)|4dt.
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