An upper bound for the G.C.D. of two linear recurring sequences

Clemens Fuchs

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 1, page 21-42
  • ISSN: 0139-9918

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Fuchs, Clemens. "An upper bound for the G.C.D. of two linear recurring sequences." Mathematica Slovaca 53.1 (2003): 21-42. <http://eudml.org/doc/31971>.

@article{Fuchs2003,
author = {Fuchs, Clemens},
journal = {Mathematica Slovaca},
keywords = {estimation of gcd; linear recurring sequences},
language = {eng},
number = {1},
pages = {21-42},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An upper bound for the G.C.D. of two linear recurring sequences},
url = {http://eudml.org/doc/31971},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Fuchs, Clemens
TI - An upper bound for the G.C.D. of two linear recurring sequences
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 1
SP - 21
EP - 42
LA - eng
KW - estimation of gcd; linear recurring sequences
UR - http://eudml.org/doc/31971
ER -

References

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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). MR1953049
  2. CORVAJA P.-ZANNIER U., Diophantine equations with power sums and universal Hilbert sets, Indag. Math. (N.S.) 9 (1998), 317-332. (1998) Zbl0923.11103MR1692189
  3. CORVAJA P.-ZANNIER U., Finiteness of integral values for the ratio of two linear recurrences, Invent. Math. 149 (2002), 431-451. Zbl1026.11021MR1918678
  4. EVERTSE J.-H., An improvement of the Quantitative Subspace Theorem, Compositio Math. 101 (1996), 225-311. (1996) Zbl0856.11030MR1394517
  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. (1988) MR1123092
  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. (1998) MR0929097
  7. SCHMIDT W. M., Diophantine Approximation, Lecture Notes in Math. 785, Springer Verlag, Berlin-Heidelberg-New York, 1980. (1980) Zbl0421.10019MR0568710
  8. SCHMIDT W. M., Diophantine Approximations and Diophantine Equations, Lecture Notes in Math. 1467, Springer Verlag, Berlin, 1991. (1991) Zbl0754.11020MR1176315
  9. SCHMIDT W. M., The zero multiplicity of linear recurrence sequences, Acta Math. 182 (1999), 243-282. (1999) Zbl0974.11013MR1710183

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