On some reasons for doubting the Riemann hypothesis

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dc.creatorIvić, Aleksandar
dc.date2003-11-11
dc.date.accessioned2026-07-07T05:02:47Z
dc.date.available2026-07-07T05:02:47Z
dc.descriptionSeveral arguments against the truth of the Riemann hypothesis are extensively discussed. These include the Lehmer phenomenon, the Davenport-Heilbronn zeta-function, large and mean values of $|ζ(1/2+it)|$ on the critical line, and zeros of a class of convolution functions. The first two topics are classical, and the remaining ones are connected with the author's research.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0311162
dc.identifierhttp://arxiv.org/abs/math/0311162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69146
dc.subjectNumber Theory
dc.subject11M06
dc.titleOn some reasons for doubting the Riemann hypothesis
dc.typetext

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