An upper bound for the G.C.D. of two linear recurring sequences
Clemens Fuchs (2003)
Mathematica Slovaca
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Clemens Fuchs (2003)
Mathematica Slovaca
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Pethö, Attila (2010)
Acta Universitatis Sapientiae. Mathematica
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Barat, Guy, Frougny, Christiane, Pethő, Attila (2005)
Integers
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Umberto Zannier (2005)
Journal de Théorie des Nombres de Bordeaux
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We shall discuss some known problems concerning the arithmetic of linear recurrent sequences. After recalling briefly some longstanding questions and solutions concerning zeros, we shall focus on recent progress on the so-called “quotient problem” (resp. "-th root problem"), which in short asks whether the integrality of the values of the quotient (resp. -th root) of two (resp. one) linear recurrences implies that this quotient (resp. -th root) is itself a recurrence. We shall also...
Luca, Florian (2002)
Revista Colombiana de Matemáticas
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Szalay, László (2007)
Annales Mathematicae et Informaticae
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Ferenc Mátyás (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Luca, Florian, Stănică, Pantelimon (2006)
Portugaliae Mathematica. Nova Série
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