Linear equations in members of recurrence sequences

H. P. Schlickewei; W. M. Schmidt

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 2, page 219-246
  • ISSN: 0391-173X

How to cite

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Schlickewei, H. P., and Schmidt, W. M.. "Linear equations in members of recurrence sequences." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.2 (1993): 219-246. <http://eudml.org/doc/84147>.

@article{Schlickewei1993,
author = {Schlickewei, H. P., Schmidt, W. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {equations of polynomial exponential type; linear recurrence sequences},
language = {eng},
number = {2},
pages = {219-246},
publisher = {Scuola normale superiore},
title = {Linear equations in members of recurrence sequences},
url = {http://eudml.org/doc/84147},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Schlickewei, H. P.
AU - Schmidt, W. M.
TI - Linear equations in members of recurrence sequences
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 2
SP - 219
EP - 246
LA - eng
KW - equations of polynomial exponential type; linear recurrence sequences
UR - http://eudml.org/doc/84147
ER -

References

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  1. [1] A. Baker, The theory of linear forms in logarithms, Transcendence Theory: Advances and Applications. Academic Press, London (1977), 1-27. Zbl0361.10028MR498417
  2. [2] F. Beukers, The zero-multiplicity of ternary recurrences. Compositio Math.77 (1991), 165-177. Zbl0717.11012MR1091896
  3. [3] J.H. Evertse, On sums of S-units and linear recurrences. Compositio Math.53 (1984), 225-244. Zbl0547.10008MR766298
  4. [4] M. Laurent, Équations exponentielles polynômes et suites récurrentes linéaires. Asterisque147-148 (1987), 121-139. Zbl0621.10014MR891424
  5. [5] M. Laurent, Équations exponentielles-polynômes et suites récurrentes linéaires, II. J. Number Theory31 (1989), 24-53. Zbl0661.10027MR978098
  6. [6] A.J. Van Der Poorten - H.P. Schlickewei, Zeros of recurrence sequences. Bull. Austral. Math. Soc.44 (1991), 215-223. Zbl0724.11006MR1126359
  7. [7] H.P. Schlickewei - W.M. Schmidt, On polynomial-exponential equations. To appear in Math. Annalen. Zbl0805.11029MR1219906
  8. [8] T.N. Shorey - R. Tijdeman, Exponential diophantine equations. Cambridge Tracts in Mathematics87, 1986. Zbl0606.10011MR891406

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