dc.contributor.author | Bondarenko, Andrii | |
dc.contributor.author | Seip, Kristian | |
dc.date.accessioned | 2018-04-05T07:15:57Z | |
dc.date.available | 2018-04-05T07:15:57Z | |
dc.date.created | 2018-04-03T20:46:40Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Operator Theory: Advances and Applications. 2018, 261 121-140. | nb_NO |
dc.identifier.issn | 0255-0156 | |
dc.identifier.uri | http://hdl.handle.net/11250/2492709 | |
dc.description.abstract | We 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.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.title | Note on the resonance method for the Riemann zeta function | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 121-140 | nb_NO |
dc.source.volume | 261 | nb_NO |
dc.source.journal | Operator Theory: Advances and Applications | nb_NO |
dc.identifier.doi | 10.1007/978-3-319-59078-3_6 | |
dc.identifier.cristin | 1577067 | |
dc.relation.project | Norges forskningsråd: 227768 | nb_NO |
dc.description.localcode | This 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_6 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |