Grandes valeurs d'une fonction liée au produit d'entiers consécutifs

Paul Erdös; Jean-Louis Nicolas

Annales de la Faculté des sciences de Toulouse : Mathématiques (1981)

  • Volume: 3, Issue: 3-4, page 173-199
  • ISSN: 0240-2963

How to cite

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Erdös, Paul, and Nicolas, Jean-Louis. "Grandes valeurs d'une fonction liée au produit d'entiers consécutifs." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.3-4 (1981): 173-199. <http://eudml.org/doc/73122>.

@article{Erdös1981,
author = {Erdös, Paul, Nicolas, Jean-Louis},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {large values of functions; product of consecutive integers; prime factors of f-highly abundant numbers},
language = {fre},
number = {3-4},
pages = {173-199},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Grandes valeurs d'une fonction liée au produit d'entiers consécutifs},
url = {http://eudml.org/doc/73122},
volume = {3},
year = {1981},
}

TY - JOUR
AU - Erdös, Paul
AU - Nicolas, Jean-Louis
TI - Grandes valeurs d'une fonction liée au produit d'entiers consécutifs
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1981
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 3-4
SP - 173
EP - 199
LA - fre
KW - large values of functions; product of consecutive integers; prime factors of f-highly abundant numbers
UR - http://eudml.org/doc/73122
ER -

References

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  1. [Bru] N.G. de Bruijn. «On the number of uncancelled elements in the sieve of Eratosthenes». Nederl. Akad. Wetensch. Proc. t. 53, p. 803-812 : Indag. Math., t. 12, (1950), p. 247-256. Zbl0037.03001MR35785
  2. [Erd] P. Erdös. «On the integers relatively prime to n and on a number theoretic function considered by Jacobstahl». Math. Scand. t. 10, (1962), p. 163-170. Zbl0202.33002MR146125
  3. [Gri] C.A. Grimm. «A conjecture on consecutive composite numbers». Amer. Math. Monthly, t. 76, (1969), p. 1126-1128. Zbl0197.32001MR260668
  4. [Hal] H. Halberstam and H.E. Richert. «Sieve methods». Academic Press, London (1974). Zbl0298.10026MR424730
  5. [Har] G.H. Hardy and E.M. Wright. «An introduction to the theory of numbers». 4th edition. - Oxford, the Clarendon Press, (1960). Zbl0086.25803
  6. [Iwa] H. Iwaniec. «On the error term in the linear sieve». Acta Arithmetica, t. 19, (1971), p. 1-30. Zbl0222.10050MR296043
  7. [Lan] E. Landau. «Handbuch der Lehre von der Verteilung der Primzahlen». Leipzig und Berlin, B.G. Teubner, (1909), 2e edition, Chelsea (1953). Zbl40.0232.08MR68565JFM40.0232.08
  8. [Nic] P. Erdos et J.L. Nicolas. «Sur la fonction nombre de diviseurs premiers de n». L'enseignement Mathématique, IIe série, t. XXVII, fasc. 1-2, 1981, p. 3-27. Zbl0466.10037MR630957
  9. [Pra] K. Prachar. «Primzahlverteilung». Berlin, Springer-Verlag, (1957) (Die Grundlehren der mathematishen Wissenschaft, 91). Zbl0080.25901MR87685
  10. [Ram] S. Ramanujan. «Highly composite numbers». Proc. London math. Soc. Series 2, t. 14 (1915), p. 347-400 ; and Collected papers. - Cambridge, at the University Press, (1927), p. 78-128. JFM45.0286.02
  11. [Ros] J.B. Rosser and L. Schoenfeld. «Approximate formulas for some functions of prime numbers». Illinois J. of math., t. 6, (1962), p. 64-94. Zbl0122.05001MR137689
  12. [Sch] A. Schinzel. «Sur un problème de P. Erdös». Colloq. Math. t. 5, (1958), p. 198-204. Zbl0089.02503MR99950
  13. [Sel] P. Erdos and J.L. Selfridge. «Some problems on the prime factors of consecutive integers II». Proc. Washington State Univ. Conf. on number theory. - (1971), p. 13-21. Math. Rew. t. 47, n° 5 (1974) # 6625. Zbl0228.10028MR318076

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