Partial sums of the M{ö}bius function

dc.creatorSoundararajan, K.
dc.date2007-05-05
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:20:02Z
dc.date.available2026-07-07T09:20:02Z
dc.descriptionAssuming the Riemann Hypothesis we establish an upper bound for the sum of the M{\" o}bius function up to $x$. Our method is based on estimating the frequency with which intervals of a given length can contain an unusual number of ordinates of zeros of the Riemann zeta-function.
dc.description11 pages; AIM preprint number 2007-23; Version 2 makes some expository changes
dc.identifierhttps://arxiv.org/abs/0705.0723
dc.identifierhttp://arxiv.org/abs/0705.0723
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154605
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.titlePartial sums of the M{ö}bius function
dc.typetext

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