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On the zeros of the error term for the mean square of |๐œ(\frac{1}2+๐‘–๐‘ก)|

On the zeros of the error term for the mean square of |๐œ(\frac{1}2+๐‘–๐‘ก)|

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E left-parenthesis upper T right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>E</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">E(T)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denote the error term in the asymptotic formula for <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="integral Subscript 0 Superscript upper T Baseline StartAbsoluteValue zeta left-parenthesis one โ€ฆ