Control theory and the Riemann hypothesis: A roadmap

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dc.creatorNihtilä, Markku
dc.date2009-03-05
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:50:47Z
dc.date.available2026-07-07T12:50:47Z
dc.descriptionAn alternative way of looking at the Riemann hypothesis from the viewpoint of mathematical control theory is considered. A control theoretic transfer function is constructed by inverting the values of the Riemann zeta-function from which the unstable pole at s=1 has been stripped off. A series expansion is developed for the impulse response of the control system via inverse Laplace transformation. If the series converges and the unproved growth conjecture of the impulse response is true, then the Riemann hypothesis is also true.
dc.description7 pages, some references corrected
dc.identifierhttps://arxiv.org/abs/0903.1117
dc.identifierhttp://arxiv.org/abs/0903.1117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222790
dc.subjectNumber Theory
dc.subject11M26 (Primary), 93D99 (Secondary)
dc.titleControl theory and the Riemann hypothesis: A roadmap
dc.typetext

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