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dc.contributor.authorBondarenko, Andrii
dc.contributor.authorSeip, Kristian
dc.date.accessioned2018-04-05T07:15:57Z
dc.date.available2018-04-05T07:15:57Z
dc.date.created2018-04-03T20:46:40Z
dc.date.issued2018
dc.identifier.citationOperator Theory: Advances and Applications. 2018, 261 121-140.nb_NO
dc.identifier.issn0255-0156
dc.identifier.urihttp://hdl.handle.net/11250/2492709
dc.description.abstractWe improve Montgomery’s Ω-results for |ζ(σ + it)| in the strip 1/2 σ 1 and give in particular lower bounds for the maximum of |ζ(σ+it)| on √ T ≤ t ≤ T that are uniform in σ. We give similar lower bounds for the maximum of |_n≤x n −1/2−it | on intervals of length much larger than x. We rely on our recent work on lower bounds for maxima of |ζ(1/2 + it)| on long intervals, as well as work of Soundararajan, G´al, and others. The paper aims at displaying and clarifying the conceptually different combinatorial arguments that show up in various parts of the proofs.nb_NO
dc.language.isoengnb_NO
dc.publisherSpringer Verlagnb_NO
dc.titleNote on the resonance method for the Riemann zeta functionnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber121-140nb_NO
dc.source.volume261nb_NO
dc.source.journalOperator Theory: Advances and Applicationsnb_NO
dc.identifier.doi10.1007/978-3-319-59078-3_6
dc.identifier.cristin1577067
dc.relation.projectNorges forskningsråd: 227768nb_NO
dc.description.localcodeThis is a post-peer-review, pre-copyedit version of an article published in [50 Years with Hardy Spaces] Locked until 29.3.2019 due to copyright restrictions. The final authenticated version is available online at: https://link.springer.com/chapter/10.1007%2F978-3-319-59078-3_6nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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