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On certain sums over ordinates of zeta zeros
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abstract
Let $\gamma$ denote imaginary parts of complex zeros of the Riemann zeta-function $\zeta(s)$. Certain sums over the $\gamma$'s are evaluated, by using the function $G(s) = \sum_{\gamma>0}\gamma^{-s}$ and other techniques. Some integrals involving the function $S(T) = (1/\pi)\arg\zeta(1/2+iT)$ are also considered.
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Cited by 1 Pith paper
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On the series expansion of the secondary zeta function about $s=1$ and its coefficients
A Stieltjes-style limit formula for the Laurent coefficients Cn of the secondary zeta function about s=1 is derived, verified numerically, and accelerated via Brent's theorem.
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