Complément à : «Sur l’approximation de π par des nombres algébriques particuliers»

G. Diaz

Compositio Mathematica (1991)

  • Volume: 79, Issue: 3, page 255-270
  • ISSN: 0010-437X

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Diaz, G.. "Complément à : «Sur l’approximation de $\pi $ par des nombres algébriques particuliers»." Compositio Mathematica 79.3 (1991): 255-270. <http://eudml.org/doc/90106>.

@article{Diaz1991,
author = {Diaz, G.},
journal = {Compositio Mathematica},
keywords = {approximation by algebraic numbers; logarithmic height; Fel'dman's estimates},
language = {fre},
number = {3},
pages = {255-270},
publisher = {Kluwer Academic Publishers},
title = {Complément à : «Sur l’approximation de $\pi $ par des nombres algébriques particuliers»},
url = {http://eudml.org/doc/90106},
volume = {79},
year = {1991},
}

TY - JOUR
AU - Diaz, G.
TI - Complément à : «Sur l’approximation de $\pi $ par des nombres algébriques particuliers»
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 79
IS - 3
SP - 255
EP - 270
LA - fre
KW - approximation by algebraic numbers; logarithmic height; Fel'dman's estimates
UR - http://eudml.org/doc/90106
ER -

References

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  1. [C1] P.L. Cijsouw, A transcendence measure for π, dans "Transcendence Theory and Applications" (A. Baker, D. W. Masser ed.), Academic Press, 1977. 
  2. [C2] P.L. Cijsouw, Transcendence measure of exponentials and logarithms of algebraic numbers, Compositio Math. 28(2), 1974, 163-178. Zbl0284.10013MR347744
  3. [D1] G. Diaz, Sur l'approximation de π par des nombres algébriques particuliers, Compositio Math.74, 1990, 285-298. Zbl0705.11034
  4. [D2] G. Diaz, Grands degrés de transcendance pour des familles d'exponentielles, J. Number Theory31(1), 1989, 1-23. Zbl0661.10047MR978097
  5. [M-W] M. Mignotte, M. Waldschmidt, Linear forms in two logarithms and Schneider's method, Math. Ann.231, 1978, 241-267. Zbl0349.10029MR460247
  6. [P1] P. Philippon, Lemmes de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France114, 1986, 355-383. Zbl0617.14001MR878242
  7. [P2] P. Philippon, Polynômes d'interpolation zur Z et Z[i], dans "Cinquante Ans de Polynômes" (M. Langevin, M. Waldschmidt ed.), Springer1990. Zbl0701.11023MR1044113
  8. [W1] M. Waldschmidt, Transcendence measures for exponentials and logarithms, J. Austral. Math. Soc. (series A) 25, 1978, 445-465. Zbl0388.10022MR508469
  9. [W2] M. Waldschmidt, A lower bound for linear forms in logarithms, Acta Arith.37, 1980, 257-283. Zbl0357.10017MR598881

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