Sur les diviseurs consécutifs d'un entier

P. Erdös; G. Tenenbaum

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 125-145
  • ISSN: 0037-9484

How to cite

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Erdös, P., and Tenenbaum, G.. "Sur les diviseurs consécutifs d'un entier." Bulletin de la Société Mathématique de France 111 (1983): 125-145. <http://eudml.org/doc/87433>.

@article{Erdös1983,
author = {Erdös, P., Tenenbaum, G.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {arithmetical function; pairs of consecutive divisors; asymptotic formula; distribution function; number of pairs of divisors},
language = {fre},
pages = {125-145},
publisher = {Société mathématique de France},
title = {Sur les diviseurs consécutifs d'un entier},
url = {http://eudml.org/doc/87433},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Erdös, P.
AU - Tenenbaum, G.
TI - Sur les diviseurs consécutifs d'un entier
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 125
EP - 145
LA - fre
KW - arithmetical function; pairs of consecutive divisors; asymptotic formula; distribution function; number of pairs of divisors
UR - http://eudml.org/doc/87433
ER -

References

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  1. [1] ERDÖS (P.). — On the density of some sequences of integers, Bull. Amer. Math. Soc., t. 54, 1948, p. 685-692. Zbl0032.01301MR10,105b
  2. [2] ERDÖS (P.) et HALL (R. R.). — On some unconventional problems on the divisors of integers, J. Austral. Math. Soc., series A, t. 25, 1978, p. 479-485. Zbl0393.10047MR58 #21975
  3. [3] ERDÖS (P.) et HALL (R. R.). — The propinquity of divisors, Bull. London Math. Soc., t. 11, 1979, p. 304-307. Zbl0421.10027MR81m:10102
  4. [4] ERDÖS (P.) et TENENBAUM (G.). — Sur la structure de la suite des diviseurs d'un entier, Ann. Inst. Fourier, t. 31, 1, 1981, p. 17-37. Zbl0437.10020
  5. [5] HALBERSTAM (H.) et RICHERT (H.-E.). — On a result of R. R. HALL, J. Number Theory, (1), t. 11, 1979, p. 76-89. Zbl0395.10048MR80j:10050
  6. [6] SELBERG (A.). — Note on a paper by L. G. SATHE, J. Indian Math. Soc., t. 18, 1954, p. 83-87. Zbl0057.28502MR16,676a
  7. [7] TENENBAUM (G.). — Lois de répartition des diviseurs, 5, J. London Math. Soc. (2), t. 20, 1979, p. 165-176. Zbl0422.10050MR83a:10094d
  8. [8] TENENBAUM (G.). — Sur la probabilité qu'un entier possède un diviseur dans un intervalle donné, Compositio Math., à paraître. Zbl0541.10038

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