Contributions to the theory of transcendental numbers (I)
K. Ramachandra (1968)
Acta Arithmetica
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K. Ramachandra (1968)
Acta Arithmetica
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Robert Tijdeman (1974-1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Enrico Bombieri (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
R. Dvornicich, U. Zannier (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Bugeaud, Yann (2009)
Integers
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Serge Lang (1960)
Publications Mathématiques de l'IHÉS
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