Sur les mesures d'irrationalité de certains nombres transcendants

Georges Rhin

Groupe d'étude en théorie analytique des nombres (1984-1985)

  • Volume: 1, page 1-6

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Rhin, Georges. "Sur les mesures d'irrationalité de certains nombres transcendants." Groupe d'étude en théorie analytique des nombres 1 (1984-1985): 1-6. <http://eudml.org/doc/114194>.

@article{Rhin1984-1985,
author = {Rhin, Georges},
journal = {Groupe d'étude en théorie analytique des nombres},
keywords = {transcendental numbers; irrationality measures; symbolic computation; log 2; ; MACSYMA},
language = {fre},
pages = {1-6},
publisher = {Secrétariat mathématique},
title = {Sur les mesures d'irrationalité de certains nombres transcendants},
url = {http://eudml.org/doc/114194},
volume = {1},
year = {1984-1985},
}

TY - JOUR
AU - Rhin, Georges
TI - Sur les mesures d'irrationalité de certains nombres transcendants
JO - Groupe d'étude en théorie analytique des nombres
PY - 1984-1985
PB - Secrétariat mathématique
VL - 1
SP - 1
EP - 6
LA - fre
KW - transcendental numbers; irrationality measures; symbolic computation; log 2; ; MACSYMA
UR - http://eudml.org/doc/114194
ER -

References

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  1. [1] Baker ( A.). - Approximations to the logarithms of certain rational numbers, Acta Arithm., Warszawa, t. 10, 1964, p. 315-323. Zbl0201.37603MR171749
  2. [2] Baker ( A.). - Transcendental number theory. - Cambridge, Cambridge University Press, 1975. Zbl0297.10013MR422171
  3. [3] Beukers ( F. ) . - A note on the irrationality of ζ(2) and ζ(3) , Bull. of the London math. Soc., t. 11, 1979, p. 268-272. Zbl0421.10023MR554391
  4. [4] Choodnovsky ( G.V. ). - Formules d'Hermite puis les approximations de Padé de logarithmes et de fonctions binômes, et mesure d'irrationalité, C. R. Acad. Sc. Paris, t. 288, 1979, série A, p. 965-967. Zbl0418.41011
  5. [5] Choodnovsky ( G.V. ). - Recurrences defining rational approximations to irrational numbers, Proc. Japan Acad., Series A, t. 58, 1982, p. 129-133. Zbl0503.10022MR664554
  6. [6] Choodnovsky ( G.V.). - Number theoretic applications of polynomials with rational coefficients defined by extremality conditions, "Arithmetic and geometry", vol. 1, p. 61-105. - Boston, Basel, Stuttgart, Birkhäuser, 1983 (Progress in Mathematics, 35). Zbl0547.10029MR717590
  7. [7] Choodnovsky ( G.V. ). - Padé and rational approximations to systems of functions and their arithmetic applications, "Number theory", p. 37-84. - Berlin, Heidelberg, New York, Springer-Verlag, 1984 (Lecture Notes in Mathematics, 1052). Zbl0536.10028MR750662
  8. [8] Danilov ( V.). - [En Russe] Math. Zametki, t. 24, 1978, p. 449-458. Zbl0401.10041
  9. [9] Mahler ( K.). - On the approximations of π, Koninkl. nederl. Akad. Wetensch. Proc. , Séries 1, t. 56, 1953, p. 30-42 ; Indag. Math., t. 15, 1953. Zbl0053.36105MR54660
  10. [10] Mignotte ( M.). - Approximations rationnelles de et quelques autres nombres, "Journées arithmétiques" [1973. Grenoble], p. 121-132, Bull. Soc. math. France. Mémoires, t. 37, 1974. Zbl0286.10017MR364120
  11. [11] Van Der Poorten ( A.). - A proof that Euler missed ... Apéry's proof of irrationality of ζ(3) , Math. Intelligencer, t. 1, 1979, p. 195-203. Zbl0409.10028

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