Pretentious multiplicative functions and an inequality for the zeta-function

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dc.creatorGranville, Andrew
dc.creatorSoundararajan, K.
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:21:50Z
dc.date.available2026-07-07T07:21:50Z
dc.descriptionWe note how several central results in multiplicative number theory may be rephrased naturally in terms of multiplicative functions $f$ that pretend to be another multiplicative function $g$. We formalize a `distance' which gives a measure of such {\sl pretentiousness}, and as one consequence obtain a curious inequality for the zeta-function.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0608407
dc.identifierhttp://arxiv.org/abs/math/0608407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115443
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.titlePretentious multiplicative functions and an inequality for the zeta-function
dc.typetext

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