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Irreducibility Criteria for Compositions and Multiplicative Convolutions of Polynomials with Integer Coefficients


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[1] A.I. Bonciocat, N.C. Bonciocat, A Capelli type theorem for multiplicative convolutions of polynomials, Math. Nachr. 281 (2008), no. 9, 1240–1253.Search in Google Scholar

[2] A.I. Bonciocat, A. Zaharescu, Irreducibility results for compositions of polynomials with integer coefficients, Monatsh Math. 149 (2006), no. 1, 31–41.Search in Google Scholar

[3] A.I. Bonciocat, N.C. Bonciocat, A. Zaharescu, On the number of factors of convolutions of polynomials with integer coefficients, Rocky Mountain J. Math. 38 (2008), no. 2, 417–431.Search in Google Scholar

[4] N.C. Bonciocat, Upper bounds for the number of factors for a class of polynomials with rational coefficients, Acta Arith. 113. 2 (2004), 175–187.10.4064/aa113-2-5Search in Google Scholar

[5] N.C. Bonciocat, Y. Bugeaud, M. Cipu, M. Mignotte, Irreducibility criteria for sums of two relatively prime polynomials, Int. J. Number Theory 9 (2013), no. 6, 1529–1539.Search in Google Scholar

[6] M. Cavachi, On a special case of Hilbert's irreducibility theorem, J. Number Theory 82 (2000), no. 1, 96–99.Search in Google Scholar

[7] M. Cavachi, M. Vâjâitu, A. Zaharescu, A class of irreducible polynomials, J. Ramanujan Math. Soc. 17 (2002), no. 3, 161–172.Search in Google Scholar

[8] M. Fried, On Hilbert's irreducibility theorem, J. Number Theory 6 (1974), 211–231.10.1016/0022-314X(74)90015-8Search in Google Scholar

[9] K. Langmann, Der Hilbertsche Irreduzibilitätssatz und Primzahlfragen, J. Reine Angew. Math. 413 (1991), 213–219.Search in Google Scholar

[10] A. Schinzel, Polynomials with Special Regard to Reducibility, in Encyclopedia of Mathematics and its Applications, Cambridge University Press (2000).10.1017/CBO9780511542916Search in Google Scholar

eISSN:
1844-0835
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
Volume Open
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines