On some polynomials allegedly related to the abc conjecture
Alexandr Borisov (1998)
Acta Arithmetica
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Alexandr Borisov (1998)
Acta Arithmetica
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Maciej Wojtkowski (1998)
Fundamenta Mathematicae
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We consider a class of Hamiltonian systems with linear potential, elastic constraints and arbitrary number of degrees of freedom. We establish sufficient conditions for complete hyperbolicity of the system.
Yuri Bilu, Guillaume Hanrot (1999)
Acta Arithmetica
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Stéphane Louboutin, Ryotaro Okazaki (1994)
Acta Arithmetica
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Michael Stoll (1999)
Acta Arithmetica
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Jeffrey Lin Thunder, John Wolfskill (1996)
Acta Arithmetica
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Christian Friesen, Paul van Wamelen (1997)
Acta Arithmetica
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Jozef Bobok (1999)
Fundamenta Mathematicae
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Defining the complexity of a green pattern exhibited by an interval map, we give the best bounds of the topological entropy of a pattern with a given complexity. Moreover, we show that the topological entropy attains its strict minimum on the set of patterns with fixed eccentricity m/n at a unimodal X-minimal case. Using a different method, the last result was independently proved in[11].