Abstract
For 1/2<σ<1 fixed, letEσ(T) denote the error term in the asymptotic formula for\(\int_0^T {|\zeta (\sigma + it)|^2 dt} \). We obtain some new bounds forEσ(T), and an Ω_-result which is the analogue of the strongest Ω_-result in the classical Dirichlet divisor problem.
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