Approximations rationnelles de π et quelques autres nombres

Maurice Mignotte

Mémoires de la Société Mathématique de France (1974)

  • Volume: 37, page 121-132
  • ISSN: 0249-633X

How to cite

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Mignotte, Maurice. "Approximations rationnelles de $\pi $ et quelques autres nombres." Mémoires de la Société Mathématique de France 37 (1974): 121-132. <http://eudml.org/doc/94662>.

@article{Mignotte1974,
author = {Mignotte, Maurice},
journal = {Mémoires de la Société Mathématique de France},
language = {fre},
pages = {121-132},
publisher = {Société mathématique de France},
title = {Approximations rationnelles de $\pi $ et quelques autres nombres},
url = {http://eudml.org/doc/94662},
volume = {37},
year = {1974},
}

TY - JOUR
AU - Mignotte, Maurice
TI - Approximations rationnelles de $\pi $ et quelques autres nombres
JO - Mémoires de la Société Mathématique de France
PY - 1974
PB - Société mathématique de France
VL - 37
SP - 121
EP - 132
LA - fre
UR - http://eudml.org/doc/94662
ER -

References

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  1. [1] CHOONG K.Y. ; DAYKIN D.E. ; RATHBORNE C.R. — Rational approximations to π. Math. Comp. 25 (1971), pp. 387-392. Zbl0221.10011
  2. [2] MAHLER K. — On the approximation of logarithms of algebraic numbers. Phil. Trans. Royal Soc. of London, A, 245, (1953), pp. 371-398. Zbl0052.04404MR14,624g
  3. [3] MAHLER K. — On the approximation of π. Proc. K. Ned. Akad. Wet. Amsterdam, A, 56 (= Indag. Math. 15) (1953) pp. 29-42. Zbl0053.36105MR14,957a
  4. [4] MAHLER K. — Applications of some formulae by Hermite to the approximation of exponentials and logarithms. Math. Annales, 168 (1967) pp. 200-227. Zbl0144.29201MR34 #5754
  5. [5] ROSSER J.B. and SCHOENFELD L. — Approximate formulas for some functions of prime numbers. Illinois J. Math. 6 (1962) pp. 64-94. Zbl0122.05001MR25 #1139
  6. [6] SCHMIDT W.M. — Approximation to algebraic numbers. Enseign. Math., XVII (1971) pp. 187-253. (= Monographie n° 19 de l'Enseignement Mathématique, Genève 1972). Zbl0226.10033

Citations in EuDML Documents

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  1. Henri Cohen, Démonstration de l’irrationalité de ζ ( 3 ) (d’après R. Apery)
  2. Georges Rhin, Sur les mesures d'irrationalité de certains nombres transcendants
  3. Masayoshi Hata, Rational approximations to π and some other numbers
  4. Georges Rhin, Carlo Viola, On the irrationality measure of ζ ( 2 )
  5. D. Bertrand, M. Emsalem, F. Gramain, M. Huttner, M. Langevin, M. Laurent, M. Mignotte, J.-C. Moreau, P. Philippon, E. Reyssat, M. Waldschmidt, Les nombres transcendants

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