Effective estimates for global relations on Euler-type series

Daniel Bertrand; Vladimir Chirskii; Johan Yebbou

Annales de la Faculté des sciences de Toulouse : Mathématiques (2004)

  • Volume: 13, Issue: 2, page 241-260
  • ISSN: 0240-2963

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Bertrand, Daniel, Chirskii, Vladimir, and Yebbou, Johan. "Effective estimates for global relations on Euler-type series." Annales de la Faculté des sciences de Toulouse : Mathématiques 13.2 (2004): 241-260. <http://eudml.org/doc/73624>.

@article{Bertrand2004,
author = {Bertrand, Daniel, Chirskii, Vladimir, Yebbou, Johan},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {effective bounds on Shidlovskii's constant},
language = {eng},
number = {2},
pages = {241-260},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Effective estimates for global relations on Euler-type series},
url = {http://eudml.org/doc/73624},
volume = {13},
year = {2004},
}

TY - JOUR
AU - Bertrand, Daniel
AU - Chirskii, Vladimir
AU - Yebbou, Johan
TI - Effective estimates for global relations on Euler-type series
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2004
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 13
IS - 2
SP - 241
EP - 260
LA - eng
KW - effective bounds on Shidlovskii's constant
UR - http://eudml.org/doc/73624
ER -

References

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  9. [Ch 1] Chirskii ( V.G.). - On algebraic relations in non-archimedean fields, Funct. Anal. Appl.26, No 2, p. 108-115 (1992). Zbl0797.11062MR1173081
  10. [Ch 2] Chirskii ( V.G. ). — Arithmetic properties of series in fields with non-archimedean absolute values [in Russian], MGU Publ.2000 [cf. Referativnyi Zhurnal Matematika, 2001, No 3, 13A.41k]. 
  11. [K] Katz ( N.). - A simple algorithm for cyclic vectors, Amer. J. Math109, p. 65-70 (1987). Zbl0621.13003MR878198
  12. [Re] Renimal ( S.). — Problèmes de transcendance liés aux E-fonctions et aux G-fonctions p-adiques, Publ. Univ. Paris6, vol. 43, 1981, Problèmes diophantiens 1980-81, No 3, 44p. [cf. Math. Reviews 82.e:10056]. Zbl0523.10021
  13. [Ro] Robba ( PH. ). - Lemmes de Hensel pour les opérateurs différentiels ; application à la réduction formelle des équations différentielles , Enseign. math.26, p. 279-311 (1980). Zbl0466.12014MR610528
  14. [Sh] Shidlovsky ( A.B. ). - Transcendental numbers, W. de Gruyter (1989). Zbl0689.10043MR1033015
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