Geodesic
An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
Publications de l'Institut Mathématique, _N_S_76 (2004) no. 90, p. 81 .

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E. Landau gave an interesting asymptotic formula for a sum involving zeros of the Riemann zeta-function. We give an asymptotic formula which can be regarded as a smoothed version of Landau's formula.
DOI : 10.2298/PIM0476081K
Classification : 11M36
Keywords: Riemann zeta-function, non-trivial zeros, asymptotic formula 
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     title = {An {Asymptotic} {Formula} for a sum {Involving} {Zeros} of the {Riemann} {Zeta-function}},
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Yuichi Kamiya; Masatoshi Suzuki. An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function. Publications de l'Institut Mathématique, _N_S_76 (2004) no. 90, p. 81 . doi : 10.2298/PIM0476081K. http://geodesic.mathdoc.fr/articles/10.2298/PIM0476081K/

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