EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 76(90), pp. 81–88 (2004)

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AN ASYMPTOTIC FORMULA FOR A SUM INVOLVING ZEROS OF THE RIEMANN ZETA-FUNCTION

Yuichi Kamiya and Masatoshi Suzuki

19-4 Nishinobo Daiwa-cho, Okazaki-city Aichi 444-0931, Japan and Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

Abstract: 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.

Keywords: Riemann zeta-function, non-trivial zeros, asymptotic formula

Classification (MSC2000): 11M36

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Electronic fulltext finalized on: 17 Dec 2004. This page was last modified: 9 Feb 2005.

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