A remark on an inequality for the prime counting function

dc.creatorBurde, Dietrich
dc.date2005-09-05
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:53:14Z
dc.date.available2026-07-07T07:53:14Z
dc.descriptionWe note that the inequalities $0.92 \frac{x}{\log(x)} <π(x)< 1.11 \frac{x}{\log(x)}$ do not hold for all $x\ge 30$, contrary to some references. These estimates on $π(x)$ came up recently in papers on algebraic number theory.
dc.identifierhttps://arxiv.org/abs/math/0509095
dc.identifierhttp://arxiv.org/abs/math/0509095
dc.identifierMathematical Inequalities and Applications Vol. 10, No. 1 (2007), 9-13
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126174
dc.subjectNumber Theory
dc.subject11N05
dc.titleA remark on an inequality for the prime counting function
dc.typetext

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