On sums of squares of the Riemann zeta-function on the critical line
Ivić, Aleksandar
Original · EN
A discussion involving the evaluation of the sum ∑₀<ᵧ≤ ₜ |ζ(1/2+iγ)|² is presented, where γ denotes imaginary parts of complex zeros of the Riemann zeta-function ζ(s). Three theorems involving certain integrals related to this sum are proved, and the sum is unconditionally shown to be ≪ T²T T.
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