Sous-suites polynomiales de certaines suites automatiques

Jean-Paul Allouche; Olivier Salon

Journal de théorie des nombres de Bordeaux (1993)

  • Volume: 5, Issue: 1, page 111-121
  • ISSN: 1246-7405

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Allouche, Jean-Paul, and Salon, Olivier. "Sous-suites polynomiales de certaines suites automatiques." Journal de théorie des nombres de Bordeaux 5.1 (1993): 111-121. <http://eudml.org/doc/93566>.

@article{Allouche1993,
author = {Allouche, Jean-Paul, Salon, Olivier},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {polynomial subsequences; automatic sequence},
language = {fre},
number = {1},
pages = {111-121},
publisher = {Université Bordeaux I},
title = {Sous-suites polynomiales de certaines suites automatiques},
url = {http://eudml.org/doc/93566},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Allouche, Jean-Paul
AU - Salon, Olivier
TI - Sous-suites polynomiales de certaines suites automatiques
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 1
SP - 111
EP - 121
LA - fre
KW - polynomial subsequences; automatic sequence
UR - http://eudml.org/doc/93566
ER -

References

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  1. [1] J.-P. Allouche, Somme des chiffres et transcendance, Bull. Soc. math. France110 (1982), 279-285. Zbl0508.10022MR688035
  2. [2] J.-P. Allouche, Automates finis en théorie des nombres, Expo. Math.5 (1987), 239-266. Zbl0641.10041MR898507
  3. [3] J.-P. Allouche et P. Liardet, Generalized Rudin-Shapiro sequences, Acta Arith.60 (1991), 1-27. Zbl0763.11010MR1129977
  4. [4] J.-P. Allouche et J. Shallit, The ring of k-regular sequences, Theoret. Comp. Sci.98 (1992), 163-187. Zbl0774.68072MR1166363
  5. [5] E. Cateland, Suites digitales et suites k-régulières, Thèse, Université Bordeaux I, 1992. 
  6. [6] G. Christol, T. Kamae, M. Mendès France et G. Rauzy, Suites algébriques, automates et substitutions, Bull. Soc. math. France108 (1980), 401-419. Zbl0472.10035MR614317
  7. [7] A. Cobham, Uniform tag sequences, Math. Systems Theory6 (1972), 164-192. Zbl0253.02029MR457011
  8. [8] M. Dekking, M. Mendès France et A. J. van der Poorten, Folds !, Math. Intell.4 (1982), 130-138, 173-181, 190-195. Zbl0493.10001MR684028
  9. [9] J.H. Loxton et A.J. van der Poorten, Arithmetic properties of automata: regular sequences, J. Reine Angew. Math.392 (1988), 57-69. Zbl0656.10033MR965057
  10. [10] P. Morton et W.J. Mourant, Digit patterns and transcendental numbers, J. Austral. Math. Soc., Ser. A51 (1991), 216-236. Zbl0746.11029MR1124551
  11. [11] D. Razafy-Andriamampianina, C. R. Acad. Sci. Paris, Série I, Math.314 (1992), 875-878. Zbl0758.11015MR1168315
  12. [12] O. Salon, Suites automatiques à multi-indices et algébricité, C. R. Acad. Sci. Paris, Série I, Math.305 (1987), 501-504. Zbl0628.10007MR916320
  13. [13] O. Salon, Suites automatiques à multi-indices, Séminaire de Théorie des Nombres de Bordeaux (1986- 1987), Exposé 4, 4-01-4-27. Zbl0653.10049

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