Multidimensional Vinogradov-type Estimates in Function Fields

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dc.contributor.authorKuo, Wentang
dc.contributor.authorLiu, Yu-Ru
dc.contributor.authorZhao, Xiaomei
dc.date.accessioned2023-10-03T15:13:19Z
dc.date.available2023-10-03T15:13:19Z
dc.date.issued2014
dc.descriptionThis article has been published in a revised form in the Canadian Journal of Mathematics https://doi.org/10.4153/CJM-2013-014-9. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. Copyright © Canadian Mathematical Society 2014.en
dc.description.abstractLet Fq[t] denote the polynomial ring over the finite field Fq. We employ Wooley’s new efficient congruencing method to prove certain multidimensional Vinogradov-type estimates in Fq[t]. These results allow us to apply a variant of the circle method to obtain asymptotic formulas for a system connected to the problem about linear spaces lying on hypersurfaces defined over Fq[t].en
dc.description.sponsorshipResearch supported by NSERC Discovery Grants || NSFC, 11126191 || NSFC, 11201163.en
dc.identifier.urihttps://doi.org/10.4153/cjm-2013-014-9
dc.identifier.urihttp://hdl.handle.net/10012/20003
dc.language.isoenen
dc.publisherCambridge University Pressen
dc.relation.ispartofseriesCanadian Journal of Mathematics;
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectVinogradov's mean value theoremen
dc.subjectfunction fieldsen
dc.subjectcircle methoden
dc.titleMultidimensional Vinogradov-type Estimates in Function Fieldsen
dc.typeArticleen
dcterms.bibliographicCitationKuo, W., Liu, Y.-R., & Zhao, X. (2014). Multidimensional vinogradov-type estimates in function fields. Canadian Journal of Mathematics, 66(4), 844–873. https://doi.org/10.4153/cjm-2013-014-9en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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