Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiquesVol. CXXII, No. 26, pp. 39-52 (2001)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques Vol. CXXII, No. 26, pp. 39-52 (2001) |
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On certain sums over ordinates of zeta-zerosA. IvicKatedra za matematiku RGF-a, Univerzitet u Beogradu, Dju\v sina 7, 11000 Beograd, Serbia (Yugoslavia), aleks\@ivic.matf.bg.ac.yu, aivic\@rgf.rgf.bg.ac.yuAbstract: Let $\g$ denote imaginary parts of complex zeros of $\z(s)$. Certain sums over the $\g$'s are evaluated, by using the function $G(s) = \sum_{\g > 0}\g^{-s}$ and other techniques. Some integrals involving the function $S(T)$ are also considered. Keywords: Riemann zeta-function, Riemann hypothesis, analytic continuation Classification (MSC2000): 11M06 Full text of the article:
Electronic fulltext finalized on: 20 Aug 2001. This page was last modified: 24 May 2002.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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