The unit equation and the cluster principle
E. Bombieri, J. Mueller, M. Poe (1997)
Acta Arithmetica
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Displaying similar documents to “A note on the generalized 3n+1 problem”
The unit equation and the cluster principle
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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The intersection of recurrence sequences
Hans Peter Schlickewei, Wolfgang M. Schmidt (1995)
Acta Arithmetica
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The number of irreducible factors of a polynomial, II
Christopher G. Pinner, Jeffrey D. Vaaler (1996)
Acta Arithmetica
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The average least witness is 2
Ronald Joseph Burthe Jr. (1997)
Acta Arithmetica
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The set of solutions of a polynomial-exponential equation
Scott Ahlgren (1999)
Acta Arithmetica
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Parabolic Cantor sets
Mariusz Urbański (1996)
Fundamenta Mathematicae
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The notion of a parabolic Cantor set is introduced allowing in the definition of hyperbolic Cantor sets some fixed points to have derivatives of modulus one. Such difference in the assumptions is reflected in geometric properties of these Cantor sets. It turns out that if the Hausdorff dimension of this set is denoted by h, then its h-dimensional Hausdorff measure vanishes but the h-dimensional packing measure is positive and finite. This latter measure can also be dynamically characterized...
Arithmetic progressions of length three in subsets of a random set
Yoshiharu Kohayakawa, Tomasz Łuczak, Vojtěch Rödl (1996)
Acta Arithmetica
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Choice principles in Węglorz’ models
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.