Geodesic
An upper bound for the G.C.D. of two linear recurring sequences
Mathematica slovaca, Tome 53 (2003) no. 1, pp. 21-42

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Classification : 11D45, 11D61, 11D75 
Fuchs, Clemens. An upper bound for the G.C.D. of two linear recurring sequences. Mathematica slovaca, Tome 53 (2003) no. 1, pp. 21-42. http://geodesic.mathdoc.fr/item/MASLO_2003_53_1_a1/
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[1] BUGEAUD Y.-CORVAJA P.-ZANNIER U.: An upper bound for the G.C.D. of $a^n - 1$ and $b^n - 1$. Math. Z. (To appear). | MR

[2] CORVAJA P.-ZANNIER U.: Diophantine equations with power sums and universal Hilbert sets. Indag. Math. (N.S.) 9 (1998), 317-332. | MR | Zbl

[3] CORVAJA P.-ZANNIER U.: Finiteness of integral values for the ratio of two linear recurrences. Invent. Math. 149 (2002), 431-451. | MR | Zbl

[4] EVERTSE J.-H.: An improvement of the Quantitative Subspace Theorem. Compositio Math. 101 (1996), 225-311. | MR | Zbl

[5] VAN DER POORTEN A. J.: Some facts that should be better known, especially about rational functions. In: Number Theory and Applications. Proc. NATO ASI, Banff/Can. 1988. NATO ASI Ser., Ser. C 265, Kluwer Acad. Publ., Dordrecht, 1989, pp. 497-528. | MR

[6] VAN DER POORTEN A. J.: Solution de la conjecture de Pisot sur le quotient de Hadamard de deux fractions rationnelles. C. R. Acad. Sci. Paris Ser. I Math. 306 (1998), 97-102. | MR

[7] SCHMIDT W. M.: Diophantine Approximation. Lecture Notes in Math. 785, Springer Verlag, Berlin-Heidelberg-New York, 1980. | MR | Zbl

[8] SCHMIDT W. M.: Diophantine Approximations and Diophantine Equations. Lecture Notes in Math. 1467, Springer Verlag, Berlin, 1991. | MR | Zbl

[9] SCHMIDT W. M.: The zero multiplicity of linear recurrence sequences. Acta Math. 182 (1999), 243-282. | MR | Zbl