Classes of polynomials having only one non-cyclotomic irreducible factor
A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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E. Bombieri, J. Mueller, M. Poe (1997)
Acta Arithmetica
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Enrico Bombieri (1994)
Acta Arithmetica
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Peter J. Grabner, Pierre Liardet (1999)
Acta Arithmetica
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Saharon Shelah, Oren Kolman (1996)
Fundamenta Mathematicae
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We assume a theory T in the logic is categorical in a cardinal λ κ, and κ is a measurable cardinal. We prove that the class of models of T of cardinality < λ (but ≥ |T|+κ) has the amalgamation property; this is a step toward understanding the character of such classes of models.
J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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Yoshiharu Kohayakawa, Tomasz Łuczak, Vojtěch Rödl (1996)
Acta Arithmetica
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