An upper bound for the G.C.D. of two linear recurring sequences
Mathematica slovaca, Tome 53 (2003) no. 1, pp. 21-42
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11D45, 11D61, 11D75
@article{MASLO_2003_53_1_a1,
     author = {Fuchs, Clemens},
     title = {An upper bound for the {G.C.D.} of two linear recurring sequences},
     journal = {Mathematica slovaca},
     pages = {21--42},
     year = {2003},
     volume = {53},
     number = {1},
     mrnumber = {1964201},
     zbl = {1048.11025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2003_53_1_a1/}
}
TY  - JOUR
AU  - Fuchs, Clemens
TI  - An upper bound for the G.C.D. of two linear recurring sequences
JO  - Mathematica slovaca
PY  - 2003
SP  - 21
EP  - 42
VL  - 53
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_2003_53_1_a1/
LA  - en
ID  - MASLO_2003_53_1_a1
ER  - 
%0 Journal Article
%A Fuchs, Clemens
%T An upper bound for the G.C.D. of two linear recurring sequences
%J Mathematica slovaca
%D 2003
%P 21-42
%V 53
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_2003_53_1_a1/
%G en
%F MASLO_2003_53_1_a1
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/

[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