Suites récurrentes linéaires en caractéristique non nulle

Jean-Paul Bézivin

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 227-239
  • ISSN: 0037-9484

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Bézivin, Jean-Paul. "Suites récurrentes linéaires en caractéristique non nulle." Bulletin de la Société Mathématique de France 115 (1987): 227-239. <http://eudml.org/doc/87531>.

@article{Bézivin1987,
author = {Bézivin, Jean-Paul},
journal = {Bulletin de la Société Mathématique de France},
keywords = {linear recurrent sequences; Skolem-Mahler-Lech theorem; zeros; Pólya theorems},
language = {fre},
pages = {227-239},
publisher = {Société mathématique de France},
title = {Suites récurrentes linéaires en caractéristique non nulle},
url = {http://eudml.org/doc/87531},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Bézivin, Jean-Paul
TI - Suites récurrentes linéaires en caractéristique non nulle
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 227
EP - 239
LA - fre
KW - linear recurrent sequences; Skolem-Mahler-Lech theorem; zeros; Pólya theorems
UR - http://eudml.org/doc/87531
ER -

References

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  1. [1] BENZAGHOU (B.). — Algèbres de Hadamard, Bull. Soc. Math. France, vol. 98, 1970, p. 209-252. Zbl0206.33203MR44 #1658
  2. [2] FURSTENBERG (H.). — Recurrence in ergodic theory and combinatorial number theory, Princeton University Press, 1981. Zbl0459.28023MR82j:28010
  3. [3] LECH (C.). — A note on recurring series, Ark Mat., vol. 2, 1952, p. 417-421. Zbl0051.27801MR15,104e
  4. [4] MAHLER (K.). — On the Taylor coefficients of rational functions, Proc. Cambridge Phil. soc., vol. 52, 1956, p. 39-48. Zbl0070.04004MR17,597c
  5. [5] POLYA (G.). — Arithmetische Eigenschaften der Reiherentwicklungen rationaler Funktionen, Journal für die reine ungewandk Math., vol. 151, 1921, p. 1-21. JFM47.0276.02
  6. [6] REUTENAUER (C.). — Sur les éléments inversibles de l'algèbre de Hadamard des séries rationnelles, Bull. soc. Math. France., vol. 110, 1982, p. 225-232. Zbl0517.13010MR84f:16001
  7. [7] SZEMEREDI (E.). — On sets of integers containing no k elements in arithmetic progression, Acta Math., vol. 27, 1975, p. 199-245. Zbl0303.10056MR51 #5547
  8. [8] VAN DER POORTEN (A. J.). — Additive relations in number fields, Séminaire de théorie des nombres de Paris, 1982-1983, p. 259-266. Progress in Math., 1984, Birkhaüser-Boston. Zbl0562.10015

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