Approximations rationnelles du nombre π

Maurice Mignotte

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1972-1973)

  • Volume: 14, Issue: 2, page G1-G5

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Mignotte, Maurice. "Approximations rationnelles du nombre π." Séminaire Delange-Pisot-Poitou. Théorie des nombres 14.2 (1972-1973): G1-G5. <http://eudml.org/doc/110831>.

@article{Mignotte1972-1973,
author = {Mignotte, Maurice},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {2},
pages = {G1-G5},
publisher = {Secrétariat mathématique},
title = {Approximations rationnelles du nombre π},
url = {http://eudml.org/doc/110831},
volume = {14},
year = {1972-1973},
}

TY - JOUR
AU - Mignotte, Maurice
TI - Approximations rationnelles du nombre π
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1972-1973
PB - Secrétariat mathématique
VL - 14
IS - 2
SP - G1
EP - G5
LA - fre
UR - http://eudml.org/doc/110831
ER -

References

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  1. [1] Choong ( K.Y.), Daykin ( D.E.), Rathborne ( C.R.). - Rational approximations to π , Math. Comp., t. 25, 1971, p. 387-392. Zbl0221.10011
  2. [2] Khintchin ( A.Ya.) [KHINČIN (A. Ja.)]. - Continued fractions. - Chicago, Univ. of Chicago Press , 1964 (Phoenix Science Series). Zbl0117.28601MR161833
  3. [3] Lambert ( J.). - Mémoire sur quelques propriétés remarquables des quantités transcendantes circulaires et logarithmiques, Mémoires Acad. Sc. Berlin, 1761 (publ. 1768), p. 265-322 ; Opera Mathematica, Vol. 2, p. 112-159. - Zürich, O. Füssli, 1948. 
  4. [4] Lindemann ( F.). - Sur le rapport de la circonférence du diamètre et sur les logarithmes népériens des nombres commensurables ou des irrationnelles algébriques, C. R. Acad. Sc. Paris, t. 95, 1882, p. 72-74. JFM14.0369.03
  5. [5] Mahler ( K.). - On the approximation of π , Proc. Nederl. Akad. Wet., Series A, t. 56(= Indag. Math., t. 15), 1953, p. 29-42. Zbl0053.36105
  6. [6] Mignotte ( M.). - Approximations rationnelles de π et quelques autres nombres, Journées arithmétiques de France [1973. Grenoble]. 
  7. [7] Pathria ( R.K.). - A statistical study of Randomness among the first 10,000 digits of π , Math. Comp., t. 16, 1962, p. 188-197. Zbl0106.13402
  8. [8] Ramanujan ( S.). - Modular equations and approximations to π , Quart. J. pure and applied Math., t. 45, 1914, p. 350-372 ; Collected papers of Srinivasa Ramanujan, p. 23-39. - Cambridge, at the University Press, 1927. Zbl45.1249.01JFM45.0688.02
  9. [9] Rosser ( J.B.) and Schoenfeld ( L.). - Approximate formules for some functions of prime numbers, Illinois J. Math., t. 6, 1962, p. 64-94. Zbl0122.05001MR137689
  10. [10] Shanks ( D.) and Wrench ( W.J. Jr). - Calculation of π to 100.000 decimals, Math. Comp., t. 16, 1962, p. 76-99. Zbl0104.36002

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