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dc.contributor.authorSeip, Kristian
dc.contributor.authorBondarenko, Andriy
dc.date.accessioned2015-12-04T08:01:06Z
dc.date.accessioned2016-06-15T11:32:06Z
dc.date.available2015-12-04T08:01:06Z
dc.date.available2016-06-15T11:32:06Z
dc.date.issued2016-10-21
dc.identifier.citationMathematika 2016, 62:101-110nb_NO
dc.identifier.issn0025-5793
dc.identifier.urihttp://hdl.handle.net/11250/2392701
dc.description.abstractWe consider the random functions $S_{N}(z):=\sum _{n=1}^{N}z(n)$SN(z):=∑Nn=1z(n), where $z(n)$z(n) is the completely multiplicative random function generated by independent Steinhaus variables $z(p)$z(p). It is shown that $\mathbb{E}|S_{N}|\gg \sqrt{N}(\log N)^{-0.05616}$E|SN|≫N−−√(logN)−0.05616 and that $(\mathbb{E}|S_{N}|^{q})^{1/q}\gg _{q}\sqrt{N}(\log N)^{-0.07672}$(E|SN|q)1/q≫qN−−√(logN)−0.07672 for all $q>0$q>0nb_NO
dc.language.isoengnb_NO
dc.publisherUniversity College London, Faculty of Mathematical and Physical Sciences, Department of Mathematicsnb_NO
dc.titleHelson's problem for sums of a random multiplicative functionnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.date.updated2015-12-04T08:01:05Z
dc.source.pagenumber101-110nb_NO
dc.source.volume62nb_NO
dc.source.journalMathematikanb_NO
dc.identifier.doi10.1112/S0025579315000236
dc.identifier.cristin1296859
dc.relation.projectNorges forskningsråd: 227768nb_NO
dc.description.localcode© 2015 University College London. This is the authors’ accepted and refereed manuscript to the article.nb_NO


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