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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  1. [An] André ( Y.). - Séries Gevrey de type arithmétique II: transcendance sans transcendance, Ann. of Maths151, p. 741-756 (2000). Zbl1037.11050MR1765708
  2. [BV] Babbitt ( D.), Varadarajan ( V.). - Formal reduction theory of meromorphic differential equations: a group theoretic view, Pacific J. Math.109, p. 1-80 (1983). Zbl0533.34010MR716289
  3. [BB] Bertrand ( D.), Beukers ( F.). - Equations différentielles linéaires et majorations de multiplicités, Ann. sci. ENS18, p. 181-192 (1985). Zbl0578.12016MR803199
  4. [Be 1] Bertrand ( D.). - Exposants des systèmes différentiels, vecteurs cycliques et majorations de multiplicités, Colloque franco-japonais 'Equations différentielles dans le champ complexe', Publ. IRMA , (Strasbourg)vol. 1 (1988), p. 61-85 [cf. Math. Reviews 93i:11083]. MR1165093
  5. [Be 2] Bertrand ( D.). - On André's proof of the Siegel-Shidlowsky theorem, Publ. Keio Univ.27, p. 51-63 (1999). MR1726524
  6. [Bo] Bombieri ( E. ) , On G-functions. - in "Recent Progress in analytic number theory", vol. 2, p. 1-67, Academic Press (1981). Zbl0461.10031MR637359
  7. [Br] Brownawell ( D.). - Effectivity in independence measures for values of E-functions, J. Austral. Math. Soc.39, p. 227-240 (1985). Zbl0574.10039MR796034
  8. [Co] Corel ( E. ). - La relation de Fuchs pour les systèmes différentiels linéaires, Prepubl. Inst. Math. Jussieu, No 299 (2001). À paraître dans Comp. Math. 
  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
  15. [Ye] Yebbou ( J. ). - Calcul de facteurs déterminants, J. Diff. Equations72, p. 140-148 (1988). Zbl0675.34004MR929201

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