Entiers sans grand ni petit facteur premier III

Eric Saias

Acta Arithmetica (1995)

  • Volume: 71, Issue: 4, page 351-379
  • ISSN: 0065-1036

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Eric Saias. "Entiers sans grand ni petit facteur premier III." Acta Arithmetica 71.4 (1995): 351-379. <http://eudml.org/doc/206779>.

@article{EricSaias1995,
author = {Eric Saias},
journal = {Acta Arithmetica},
keywords = {prime factors in an interval; integers without large prime factors; integers without small prime factors; asymptotic estimate},
language = {fre},
number = {4},
pages = {351-379},
title = {Entiers sans grand ni petit facteur premier III},
url = {http://eudml.org/doc/206779},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Eric Saias
TI - Entiers sans grand ni petit facteur premier III
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 4
SP - 351
EP - 379
LA - fre
KW - prime factors in an interval; integers without large prime factors; integers without small prime factors; asymptotic estimate
UR - http://eudml.org/doc/206779
ER -

References

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  1. [1] N. G. de Bruijn, On the number of uncancelled elements in the sieve of Eratosthenes, Nederl. Akad. Wetensch. Proc. 53 (1950), 803-812. Zbl0037.03001
  2. [2] W. J. Ellison et M. Mendès-France, Les nombres premiers, Hermann, Paris, 1975. 
  3. [3] V. Ennola, On numbers with small prime divisors, Ann. Acad. Sci. Fenn. Ser. AI 440 (1969). Zbl0174.33903
  4. [4] E. Fouvry et G. Tenenbaum, Entiers sans grand facteur premier en pro gressions arithmétiques, Proc. London Math. Soc. 63 (1991), 449-494. Zbl0745.11042
  5. [5] D. R. Heath-Brown, The numbers of primes in a short interval, J. Reine Angew. Math. 389 (1988), 22-63. Zbl0646.10032
  6. [6] A. Hildebrand, Integers free of large prime factors and the Riemann hy pothesis, Mathematika 31 (1984), 258-271. Zbl0544.10042
  7. [7] A. Hildebrand and G. Tenenbaum, On integers free of large prime factors, Trans. Amer. Math. Soc. 296 (1986), 265-290. Zbl0601.10028
  8. [8] E. Saias, Sur le nombre des entiers sans grand facteur premier, J. Number Theory 32 (1989), 78-99. Zbl0676.10028
  9. [9] E. Saias, Entiers sans grand ni petit facteur premier I, Acta Arith. 61 (1992), 347-374. 
  10. [10] E. Saias, Entiers sans grand ni petit facteur premier II, Acta Arith. 63 (1993), 287-312. 
  11. [11] G. Tenenbaum, La méthode du col en théorie analytique des nombres, dans: Séminaire de Théorie des Nombres, Paris 1986-87, C. Goldstein (ed.), Progr. Math. 75, Birkhäuser, 1988, 411-442. 
  12. [12] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Inst. Élie Cartan 13, Université de Nancy I, 1990. 
  13. [13] G. Tenenbaum, Cribler les entiers sans grand facteur premier, Philos. Trans. Roy. Soc. Ser. A 345 (1993), 377-384. 

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