Strong arithmetic properties of the integral solutions of X³ + DY³ + D²Z³ - 3DXYZ = 1, where D = M³ ± 1, M ∈ ℤ*
Christian Ballot (1999)
Acta Arithmetica
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Christian Ballot (1999)
Acta Arithmetica
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Hans Schlickewei, Carlo Viola (2000)
Acta Arithmetica
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Julien Cassaigne, Sébastien Ferenczi, Christian Mauduit, Jöel Rivat, András Sárközy (1999)
Acta Arithmetica
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James Hirschorn (2000)
Fundamenta Mathematicae
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We formulate variants of the cardinals f, p and t in terms of families of measurable functions, in order to examine the effect upon these cardinals of adding one random real.
W. W. L. Chen, V. F. Lev (1998)
Acta Arithmetica
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Harald Niederreiter, Chaoping Xing (1997)
Acta Arithmetica
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Haim Judah, Andrzej Rosłanowski, Saharon Shelah (1994)
Fundamenta Mathematicae
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We give several examples of Souslin forcing notions. For instance, we show that there exists a proper analytical forcing notion without ccc and with no perfect set of incompatible elements, we give an example of a Souslin ccc partial order without the Knaster property, and an example of a totally nonhomogeneous Souslin forcing notion.