A Li-type criterion for zero-free half-planes of Riemann's zeta function

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dc.creatorFreitas, Pedro
dc.date2005-07-18
dc.date.accessioned2026-07-07T05:21:48Z
dc.date.available2026-07-07T05:21:48Z
dc.descriptionWe define a sequence of real functions which coincide with Li's coefficients at one and which allow us to extend Li's criterion for the Riemann Hypothesis to yield a necessary and sufficient condition for the existence of zero-free strips inside the critical strip $0<\Re(z)<1$. We study some of the properties of these functions, including their oscillatory behaviour.
dc.description15 pages, to appear in the J. London Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0507368
dc.identifierhttp://arxiv.org/abs/math/0507368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75825
dc.subjectNumber Theory
dc.subject11M26; 11M06
dc.titleA Li-type criterion for zero-free half-planes of Riemann's zeta function
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