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

AN ASYMPTOTIC FORMULA FOR A SUM INVOLVING ZEROS OF THE RIEMANN ZETAFUNCTIONYuichi Kamiya and Masatoshi Suzuki194 Nishinobo Daiwacho, Okazakicity Aichi 4440931, Japan and Graduate School of Mathematics, Nagoya University, Chikusaku, Nagoya 4648602, JapanAbstract: E. Landau gave an interesting asymptotic formula for a sum involving zeros of the Riemann zetafunction. We give an asymptotic formula which can be regarded as a smoothed version of Landau's formula. Keywords: Riemann zetafunction, nontrivial zeros, asymptotic formula Classification (MSC2000): 11M36 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 17 Dec 2004. This page was last modified: 9 Feb 2005.
© 2004 Mathematical Institute of the Serbian Academy of Science and Arts
