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Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12128/4920
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dc.contributor.authorBlaszczok, Anna-
dc.date.accessioned2018-06-25T19:42:30Z-
dc.date.available2018-06-25T19:42:30Z-
dc.date.issued2011-
dc.identifier.citationAnnales Mathematicae Silesianae, [Nr] 25 (2011), s. 49-57pl_PL
dc.identifier.issn0860-2107-
dc.identifier.issn2391-4238-
dc.identifier.urihttp://hdl.handle.net/20.500.12128/4920-
dc.description.abstractThis paper generalises the proof of quadratic reciprocity law in Fq[T] presented by C. G. Ji and Y. Xue [Proc. Amer. Math. Soc. 136 (2008), no. 9, 3035–3039; MR2407064] to the case of d-th power residues, where d divides the order of F∗q. Using only elementary properties of finite fields and basic number-theoretic tools we show that if P,Q∈Fq[T] are distinct irreducible polynomials then (PQ)d=(−1)q−1ddeg(P)deg(Q)(QP)d, where (PQ)d is the d-th power residue symbolpl_PL
dc.language.isoenpl_PL
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.subjectPolynomial ringpl_PL
dc.subjectd-th power residuepl_PL
dc.subjectReciprocity lawpl_PL
dc.titleAn elementary proof of the d-th power reciprocity law over function fieldspl_PL
dc.typeinfo:eu-repo/semantics/articlepl_PL
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