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dc.contributor.authorCouceiro, Miguel*
dc.contributor.authorLehtonen, Erkko*
dc.contributor.authorWaldhauser, Tamás*
dc.date.accessioned2015-04-07T11:38:28Z
dc.date.available2015-04-07T11:38:28Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14890
dc.language.isoenen
dc.subjectfunction of several variablesen
dc.subjectarity gapen
dc.subjectpolynomial functionen
dc.subjectpartial derivativeen
dc.subject.ddc515en
dc.titleAdditive decomposition schemes for polynomial functions over fieldsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe authors' previous results on the arity gap of functions of several variables are refined by considering polynomial functions over arbitrary fields. We explicitly describe the polynomial functions with arity gap at least 3, as well as the polynomial functions with arity gap equal to 2 for fields of characteristic 0 or 2. These descriptions are given in the form of decomposition schemes of polynomial functions. Similar descriptions are given for arbitrary finite fields. However, we show that these descriptions do not extend to infinite fields of odd characteristic.en
dc.relation.isversionofjnlnameNovi Sad Journal of Mathematics
dc.relation.isversionofjnlvol44en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages89-105en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01090554
dc.relation.isversionofjnlpublisherNovi Sad : Institut za matematikuen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
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