On the Riemann Zeta-function and the Divisor Problem
نویسندگان
چکیده
Let ∆(x) denote the error term in the Dirichlet divisor problem, and E(T ) the error term in the asymptotic formula for the mean square of |ζ( 1 2 + it)|. If E∗(t) = E(t) − 2π∆∗(t/2π) with ∆∗(x) = −∆(x) + 2∆(2x) − 1 2 ∆(4x), then we obtain ∫ T 0 (E(t)) dt ≪ε T . We also show how our method of proof yields the bound R
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