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On the moments of a polynomial in one variable

dc.contributor.authorMueger, Michael
dc.contributor.authorTuset, Lars
dc.date.accessioned2020-04-30T17:31:36Z
dc.date.accessioned2020-05-04T08:53:48Z
dc.date.available2020-04-30T17:31:36Z
dc.date.available2020-05-04T08:53:48Z
dc.date.issued2019-12-10
dc.identifier.citationMueger M, Tuset L. On the moments of a polynomial in one variable. Indagationes mathematicae. 2019;31en
dc.identifier.issn0019-3577
dc.identifier.issn0019-3577
dc.identifier.issn1872-6100
dc.identifier.urihttps://hdl.handle.net/10642/8502
dc.description.abstractLet f be a non-zero polynomial with complex coefficients and define Mn(f) =R1 0 f(x)n dx. We use ideas of Duistermaat and van der Kallen to prove limsupn→∞ |Mn(f)|1/n > 0. In particular, Mn(f) 6= 0 for infinitely many n ∈ N.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesIndagationes Mathematicae;Volume 31, Issue 1, January 2020
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S001935771930076X
dc.rights© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ DOI: https://dx.doi.org/10.1016/j.indag.2019.11.003en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectPolynomial momentsen
dc.subjectComplex analysesen
dc.subjectFunction generatingen
dc.titleOn the moments of a polynomial in one variableen
dc.typeJournal articleen
dc.typePeer revieweden
dc.date.updated2020-04-30T17:31:36Z
dc.description.versionacceptedVersionen
dc.identifier.doihttps://dx.doi.org/10.1016/j.indag.2019.11.003
dc.identifier.cristin1779398
dc.source.journalIndagationes mathematicae


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© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ DOI: https://dx.doi.org/10.1016/j.indag.2019.11.003
Med mindre annet er angitt, så er denne innførselen lisensiert som © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ DOI: https://dx.doi.org/10.1016/j.indag.2019.11.003