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dc.contributor.authorMoulin Ollagnier, Jean
dc.contributor.authorNowicki, Andrzej
dc.contributor.editorKrasiński, Tadeusz
dc.contributor.editorSpodzieja, Stanisław
dc.date.accessioned2017-12-28T09:13:10Z
dc.date.available2017-12-28T09:13:10Z
dc.date.issued2017
dc.identifier.citationMoulin Ollagnier J., Nowicki A., Rational constants of cyclotomic derivations, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017, p. 97-121, doi: 10.18778/8088-922-4.15pl_PL
dc.identifier.isbn978-83-8088-922-4
dc.identifier.urihttp://hdl.handle.net/11089/23777
dc.language.isoenpl_PL
dc.publisherŁódź University Presspl_PL
dc.relation.ispartofKrasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017;
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.titleRational constants of cyclotomic derivationspl_PL
dc.typeBook chapterpl_PL
dc.rights.holder© Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017pl_PL
dc.page.number97-121pl_PL
dc.contributor.authorAffiliationLaboratoire LIX, École Polytechnique, F 91128 Palaiseau Cedex, Francepl_PL
dc.contributor.authorAffiliationNicolaus Copernicus University, Faculty of Mathematics and Computer Science, ul. Chopina 12/18, 87-100 Toruń, Polandpl_PL
dc.identifier.eisbn978-83-8088-923-1
dc.referencesN.G. de Bruijn, On the factorization of cyclic groups, Indag. Math. 15 (1953), 370-377.pl_PL
dc.referencesA. van den Essen, Polynomial Automorphisms and the Jacobian Conjecture, Progress in Mathematics vol. 190, 2000.pl_PL
dc.referencesG. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Encyclopedia of Mathematical Sciences 136, Springer, 2006.pl_PL
dc.referencesT.Y. Lam and K.H. Leung, On the cyclotomic polynomial ᶲ pq(x), American Mathematical Monthly, 103(7) (1996), 562-564.pl_PL
dc.referencesT.Y. Lam and K.H. Leung, On vanishing sums of roots of unity, J. Algebra, 224 (2000), 91-109,pl_PL
dc.referencesS. Lang, Algebra, Second Edition, Addison-Wesley Publishing Company, 1984.pl_PL
dc.referencesS. Lang, Undergraduate Algebra, Second Edition, Springer, 1990.pl_PL
dc.referencesJ. Moulin Ollagnier and A. Nowicki, Derivations of polynomial algebras without Darboux polynomials, J. Pure Appl. Algebra, 212 (2008), 1626-1631.pl_PL
dc.referencesJ. Moulin Ollagnier and A. Nowicki, Monomial derivations, Communications in Algebra, 39 (2011), 3138-3150.pl_PL
dc.referencesJ. Moulin Ollagnier and A. Nowicki, Constants of cyclotomic derivations, J. Algebra 394 (2013), 92-119.pl_PL
dc.referencesA. Nowicki, Polynomial derivations and their rings of constants, N. Copernicus University Press, Toruń, 1994.pl_PL
dc.referencesA. Nowicki and M. Nagata, Rings of constants for k-derivations in k[x1; : : : ; xn], J. Math. Kyoto Univ., 28 (1988), 111-118.pl_PL
dc.referencesL. Rédei, Ein Beitrag zum Problem der Faktorisation von endlichen Abelschen Gruppen, Acta Math. Hungar, 1 (1950), 197-207.pl_PL
dc.referencesA. Satyanarayan Reddy, The lowest 0,1-polynomial divisible by cyclotomic polynomial, arXiv: 1106.127v2 [math.NT] 15Nov 2011.pl_PL
dc.referencesI.J. Schoenberg, A note on the cyclotomic polynomial, Mathematika, 11 (1964), 131-136.pl_PL
dc.referencesJ.P. Steinberger, The lowest-degree polynomial with nonnegative coe cients divisible by the n-th cyclotomic polynomial, The electronic journal of combinatorics 19(4) (2012), #P1pl_PL
dc.referencesJ.P. Steinberger, Minimal vanishing sums of roots of unity with large coefficients, Proc. Lond. Math. Soc. (3) 97 (2008), 689-717.pl_PL
dc.contributor.authorEmailJean.Moulin-Ollagnier@polytechnique.edupl_PL
dc.contributor.authorEmailanow@mat.uni.torun.plpl_PL
dc.identifier.doi10.18778/8088-922-4.15


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