Quelques problèmes relatifs à la théorie des fractions continues limitées

Michel Mendès France

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1971-1972)

  • Volume: 13, Issue: 1, page 1-6

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Mendès France, Michel. "Quelques problèmes relatifs à la théorie des fractions continues limitées." Séminaire Delange-Pisot-Poitou. Théorie des nombres 13.1 (1971-1972): 1-6. <http://eudml.org/doc/110784>.

@article{MendèsFrance1971-1972,
author = {Mendès France, Michel},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {1},
pages = {1-6},
publisher = {Secrétariat mathématique},
title = {Quelques problèmes relatifs à la théorie des fractions continues limitées},
url = {http://eudml.org/doc/110784},
volume = {13},
year = {1971-1972},
}

TY - JOUR
AU - Mendès France, Michel
TI - Quelques problèmes relatifs à la théorie des fractions continues limitées
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1971-1972
PB - Secrétariat mathématique
VL - 13
IS - 1
SP - 1
EP - 6
LA - fre
UR - http://eudml.org/doc/110784
ER -

References

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  1. [1] Dixon ( J.D.). - The number of steps in the euclidean algorithm, J. of Number Theory, t. 2, 1970, p. 414-422. Zbl0206.33502MR266889
  2. [2] Dixon ( J.D.). - A simple estimate for the number of steps in the euclidean algorithm, Amer. math. Monthly, t. 78, 1971, p. 374-376. Zbl0211.37401MR285479
  3. [3] Heilbroun ( H.). - On the average length of a class of finite continued fractions, Abhandlungen Zahlentheorie und Analysis (édité par Turan en souvenir de Landau), p. 87-96. - Berlin, VEB Deutscher Verlag, 1968. Zbl0212.06503MR258760
  4. [4] Lamé ( G.). - Note sur la limite du nombre des divisions dans la recherche du plus grand commun diviseur entre deux entiers, C. R. Acad. Sc. Paris, t. 19, 1844, p. 867-870. 
  5. [5] Mikusinski ( J.). - Sur certaines fractions continues finies, Ann. Polonici Mathem., t. 1, 1954, p. 203-206. Zbl0055.04501MR62257
  6. [6] Schinzel ( A.). - On some problems of the arithmetical theory of continued fractions, Acta Arithm., Warszawa, t. 6, 1961, p. 394-413. Zbl0099.04003MR125814
  7. [7] Schinzel ( A.). - On some problems of the arithmetical theory of continued fractions, II., Acta Arithm., Warszawa, t. 7, 1962, p. 288-298. Zbl0112.28001MR139566

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