Sur les propriétés arithmétiques du produit de Hadamard

Jean-Paul Bézivin

Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)

  • Volume: 11, Issue: 1, page 7-19
  • ISSN: 0240-2963

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Bézivin, Jean-Paul. "Sur les propriétés arithmétiques du produit de Hadamard." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.1 (1990): 7-19. <http://eudml.org/doc/73254>.

@article{Bézivin1990,
author = {Bézivin, Jean-Paul},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Hadamard product; algebraic power series; Pisot's conjecture; roots; rational power series},
language = {fre},
number = {1},
pages = {7-19},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sur les propriétés arithmétiques du produit de Hadamard},
url = {http://eudml.org/doc/73254},
volume = {11},
year = {1990},
}

TY - JOUR
AU - Bézivin, Jean-Paul
TI - Sur les propriétés arithmétiques du produit de Hadamard
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1990
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 1
SP - 7
EP - 19
LA - fre
KW - Hadamard product; algebraic power series; Pisot's conjecture; roots; rational power series
UR - http://eudml.org/doc/73254
ER -

References

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  1. [1] Benzaghou ( B.) .— Algèbres de Hadamard, Bull. Soc. Math. France28 (1970) pp. 209-252 Zbl0206.33203MR284431
  2. [2] Bezivin ( J-P.) .— Factorisation de suites récurrentes linéaires et applications, Bull. Soc. Math. France112 (1984) pp. 365-376 Zbl0563.10008MR794738
  3. [3] Bieberbach ( L.) .— Analytische Fortsetzung , Springer-Verlag (1955) Zbl0064.06902MR68621
  4. [4] Christol ( G.) .— Diagonales de Fractions rationnelles, Preprint Zbl0534.12018MR990506
  5. [5] Furstenberg ( H.) .— Algebraic functions over finite fields, Journal of Algebra7 (1967) pp. 271-277 Zbl0175.03903MR215820
  6. [6] Jungen ( R.) .— Sur les séries de Taylor n'ayant que des singularités algébricologarithmiques sur leur cercle de convergence, Comment. Math. Helv.3 (1931) pp. 266-306 Zbl0003.11901JFM57.0373.03
  7. [7] Lipshitz ( L.) and Rubel ( L.A.) .— A gap theorem for power series solutions of algebraic differential equations, American J. of Math.5, 108 (1986) pp. 1193-1213 Zbl0605.12014MR859776
  8. [8] Rumely ( R.S.) .— Notes on Van Der Poorten's proof of the Hadamard quotient theorem, I and II, Unpublished notes Zbl0661.10017
  9. [9] Rumely ( R.S.) and Van Der Poorten ( A.J.) .— A note on the Hadamard k-th-root of a rational function, Preprint 
  10. [10] Tsuji ( M.) — On a power series which has only algebraic singularities on its convergence circle, Japanese Journal of Math.3 (1926) pp. 69-85 Zbl52.0294.04JFM52.0294.04
  11. [11] Van Der Poorten ( A.J.) .— Hadamard operations on rational functions, Groupe d'étude d'analyse ultramétrique, exposé n°4 (1982-84) Zbl0543.10006
  12. [12] Van Der Poorten ( A.J.) . — p-adics methods in the study of Taylor coefficients of rational functions (to KURT MAHLER on his 80-th Birthday), Bull. Australian Math. Soc.19 (1984) pp. 109-117 Zbl0519.10009

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