Répartition des nombres superabondants

Paul Erdös; Jean-Louis Nicolas

Bulletin de la Société Mathématique de France (1975)

  • Volume: 103, page 65-90
  • ISSN: 0037-9484

How to cite

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Erdös, Paul, and Nicolas, Jean-Louis. "Répartition des nombres superabondants." Bulletin de la Société Mathématique de France 103 (1975): 65-90. <http://eudml.org/doc/87265>.

@article{Erdös1975,
author = {Erdös, Paul, Nicolas, Jean-Louis},
journal = {Bulletin de la Société Mathématique de France},
language = {fre},
pages = {65-90},
publisher = {Société mathématique de France},
title = {Répartition des nombres superabondants},
url = {http://eudml.org/doc/87265},
volume = {103},
year = {1975},
}

TY - JOUR
AU - Erdös, Paul
AU - Nicolas, Jean-Louis
TI - Répartition des nombres superabondants
JO - Bulletin de la Société Mathématique de France
PY - 1975
PB - Société mathématique de France
VL - 103
SP - 65
EP - 90
LA - fre
UR - http://eudml.org/doc/87265
ER -

References

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  1. [1] BRUIJN (N. G. De). — On the number of positive integers ≦ x and free of prime factors &gt; y, Indag. Math., t. 13, 1951, p. 50-60. Zbl0042.04204
  2. [2] BRUIJN (N. G. De), TENGBERGEN (C. Van E.) and KRUYSWIJK (D.). — On the set of divisors of a number, Nieuw Arch. f. Wisk., Ser. 2, t. 23, 1949-1951, p. 191-193. Zbl0043.04301
  3. [3] COMTET (L.). Analyse combinatoire, Volumes 1 et 2. — Paris, Presses Universitaires de France, 1970 (Collection SUP. " Le mathématicien ", 4 et 5). Zbl0221.05001MR41 #6697
  4. [4] ERDÖS (P.) and ALAOGLU (L.). — On highly composite and similar numbers, Trans. Amer. math. Soc., t. 56, 1944, p. 448-469. Zbl0061.07903MR6,117c
  5. [5] ERDÖS (P.). — On highly composite numbers, J. of London math. Soc., t. 19, 1944, p. 130-134. Zbl0061.07904MR7,145d
  6. [6] ERDÖS (P.). — On the distribution function of additive functions, Annals of Math., t. 47, 1946, p. 1-20. Zbl0061.07902MR7,416c
  7. [7] HARDY (G. H.) and WRIGHT (E. M.). — An introduction to the theory of numbers, 4th edition. — Oxford, The Clarendon Press, 1960. Zbl0086.25803
  8. [8] HUXLEY (M. N.). The distribution of prime numbers. Large sieves and zero density theorems. — Oxford, at the Clarendon Press, 1972 (Oxford mathematical Monographs). Zbl0248.10030
  9. [9] LANG (S.). — Introduction to transcental numbers. — New York, Addison-Wesley, 1966 (Addison-Wesley Series in Mathematics). Zbl0144.04101
  10. [10] LANG (S.). — Nombres transcendants, Séminaire Bourbaki, 18e année, 1965-1966, n° 305, 8 p. Zbl0236.10019
  11. [11] NICOLAS (J.-L.). — Ordre maximal d'un élément du groupe Sn des permutations et " highly composite numbers ", Bull. Soc. math. France, t. 97, 1969, p. 129-191 (Thèse Sc. math., Paris, 1968). Zbl0184.07202MR40 #7340
  12. [12] NICOLAS (J.-L.). — Répartition des nombres hautement composés de Ramanujan, Canad. J. of Math., t. 23, 1971, p. 116-130. Zbl0213.06602MR43 #165
  13. [13] RADEMACHER (H.). — Lectures on elementary number theory. — New York, Blaisdell Publishing Company, 1964. Zbl0119.27803MR30 #1079
  14. [14] RAMANUJAN (S.). — Highly composite numbers, Proc. London math. Soc., Series 2, t. 14, 1915, p. 347-409 ; and "Collected papers", p. 78-128. — Cambridge, at the University Press, 1927. Zbl45.1248.01JFM45.0286.02
  15. [15] SPERNER (E.). — Ein Satz über Untermengen einer endlichen Menge, Math. Z., t. 27, 1928, p. 544-548. Zbl54.0090.06JFM54.0090.06
  16. [16] Problèmes et solutions, Can. math. Bull., t. 16, 1973, p. 463. 

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