dc.contributor.author | Brevig, Ole Fredrik | |
dc.contributor.author | Heap, Winston | |
dc.date.accessioned | 2018-12-17T09:07:17Z | |
dc.date.available | 2018-12-17T09:07:17Z | |
dc.date.created | 2018-12-11T16:26:22Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Journal of Number Theory. 2019, 197 383-410. | nb_NO |
dc.identifier.issn | 0022-314X | |
dc.identifier.uri | http://hdl.handle.net/11250/2577870 | |
dc.description.abstract | The pseudomoments of the Riemann zeta function, denoted Mk(N), are defined as the 2kth integral moments of the Nth partial sum of ζ(s) on the critical line. We improve the upper and lower bounds for the constants in the estimate Mk(N) ≍k (log N) k 2 as N → ∞ for fixed k ≥ 1, thereby determining the two first terms of the asymptotic expansion. We also investigate uniform ranges of k where this improved estimate holds and when Mk(N) may be lower bounded by the 2kth power of the L ∞ norm of the Nth partial sum of ζ(s) on the critical line. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.title | High pseudomoments of the Riemann zeta function | nb_NO |
dc.type | Journal article | nb_NO |
dc.description.version | submittedVersion | nb_NO |
dc.source.pagenumber | 383-410 | nb_NO |
dc.source.volume | 197 | nb_NO |
dc.source.journal | Journal of Number Theory | nb_NO |
dc.identifier.doi | 10.1016/j.jnt.2018.10.001 | |
dc.identifier.cristin | 1641846 | |
dc.description.localcode | This is a submitted manuscript of an article published by Elsevier Ltd in Journal of Number Theory, 15 November 2018. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |