On Sums of Squares of the Riemann Zeta-function on the Critical Line
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چکیده
and some related integrals, where γ denotes imaginary parts of complex zeros of ζ(s), and where every zero is counted with its multiplicity (see also [5] and [7]). The interest is in obtaining unconditional bounds for the above sum, since assuming the Riemann Hypothesis (RH) the sum trivially vanishes. A more general sum than the one in (1.1) was treated by S.M. Gonek [3]. He proved, under the RH, that
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تاریخ انتشار 2003