Large gaps between the zeros of the Riemann zeta function

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dc.creatorNg, Nathan
dc.date2005-10-25
dc.date.accessioned2026-07-07T06:47:53Z
dc.date.available2026-07-07T06:47:53Z
dc.descriptionWe show that the generalized Riemann hypothesis implies that there are infinitely many consecutive zeros of the Riemann zeta function whose spacing is 2.9125 times larger than the average spacing. This is deduced from the calculation of the second moment of the Riemann zeta function multiplied by a Dirichlet polynomial averaged over the zeros of the zeta function.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/math/0510530
dc.identifierhttp://arxiv.org/abs/math/0510530
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103801
dc.subjectNumber Theory
dc.subject11M26,11M6
dc.titleLarge gaps between the zeros of the Riemann zeta function
dc.typetext

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