On subfields of
Victor Alexandru, Nicolae Popescu (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Victor Alexandru, Nicolae Popescu (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Michael Filaseta, Manton Matthews, Jr. (2004)
Colloquium Mathematicae
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If f(x) and g(x) are relatively prime polynomials in ℤ[x] satisfying certain conditions arising from a theorem of Capelli and if n is an integer > N for some sufficiently large N, then the non-reciprocal part of f(x)xⁿ + g(x) is either identically ±1 or is irreducible over the rationals. This result follows from work of Schinzel in 1965. We show here that under the conditions that f(x) and g(x) are relatively prime 0,1-polynomials (so each coefficient is either 0 or 1) and f(0) =...
Sergeev, A.E., Yakovlev, A.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Vladimír Kučera (1994)
Kybernetika
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Andrej Dujella, Tomislav Pejković (2011)
Rendiconti del Seminario Matematico della Università di Padova
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F. Halter-Koch, Władysław Narkiewicz (1992)
Journal de théorie des nombres de Bordeaux
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Meyn, Helmut, Götz, Werner (1989)
Séminaire Lotharingien de Combinatoire [electronic only]
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Zaharescu, Alexandru (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Gomez-Calderon, Javier (2000)
International Journal of Mathematics and Mathematical Sciences
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Zimmermann, Karl (2007)
The New York Journal of Mathematics [electronic only]
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Andrzej Schinzel (1991)
Mathematica Slovaca
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