The unit equation and the cluster principle
E. Bombieri, J. Mueller, M. Poe (1997)
Acta Arithmetica
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E. Bombieri, J. Mueller, M. Poe (1997)
Acta Arithmetica
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A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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Kurt Girstmair (1999)
Acta Arithmetica
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Lorenz Halbeisen, Norbert Hungerbühler (1997)
Acta Arithmetica
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Yoshiharu Kohayakawa, Tomasz Łuczak, Vojtěch Rödl (1996)
Acta Arithmetica
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N. Brunner, Paul Howard, Jean Rubin (1997)
Fundamenta Mathematicae
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Węglorz' models are models for set theory without the axiom of choice. Each one is determined by an atomic Boolean algebra. Here the algebraic properties of the Boolean algebra are compared to the set theoretic properties of the model.
Zoran Spasojević (1995)
Fundamenta Mathematicae
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I prove that the statement that “every linear order of size can be embedded in ” is consistent with MA + ¬ wKH.
Alexandra Fronville, Anton Sadovski, Henryk Żołądek (1998)
Fundamenta Mathematicae
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The 1:-2 resonant center problem in the quadratic case is to find necessary and sufficient conditions (on the coefficients) for the existence of a local analytic first integral for the vector field . There are twenty cases of center. Their necessity was proved in [4] using factorization of polynomials with integer coefficients modulo prime numbers. Here we show that, in each of the twenty cases found in [4], there is an analytic first integral. We develop a new method of investigation...