Entiers sans grand ni petit facteur premier I

Eric Saias

Acta Arithmetica (1992)

  • Volume: 61, Issue: 4, page 347-374
  • ISSN: 0065-1036

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Eric Saias. "Entiers sans grand ni petit facteur premier I." Acta Arithmetica 61.4 (1992): 347-374. <http://eudml.org/doc/206472>.

@article{EricSaias1992,
author = {Eric Saias},
journal = {Acta Arithmetica},
keywords = {integers with no small or large prime factors},
language = {fre},
number = {4},
pages = {347-374},
title = {Entiers sans grand ni petit facteur premier I},
url = {http://eudml.org/doc/206472},
volume = {61},
year = {1992},
}

TY - JOUR
AU - Eric Saias
TI - Entiers sans grand ni petit facteur premier I
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 4
SP - 347
EP - 374
LA - fre
KW - integers with no small or large prime factors
UR - http://eudml.org/doc/206472
ER -

References

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  1. [1] K. Alladi, The Turán-Kubilius inequality for integers without large factors, J. Reine Angew. Math. 335 (1982), 180-196. Zbl0483.10050
  2. [2] J. D. Bovey, On the size of prime factors of integers, Acta Arith. 33 (1977), 65-80. Zbl0353.10033
  3. [3] 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
  4. [4] N. G. de Bruijn, The asymptotic behaviour of a function occurring in the theory of primes, J. Indian Math. Soc. (N.S.) 15 (1951), 25-32. Zbl0043.06502
  5. [5] A. A. Buchstab, An asymptotic estimate of a general number-theoretic function, Mat. Sb. 2 (44) (1937), 1239-1246 (in Russian). 
  6. [6] K. Dickman, On the frequency of numbers containing prime factors of a certain relative magnitude, Ark. Mat. Astr. Fys. 22 (1930), 1-14. Zbl56.0178.04
  7. [7] E. Fouvry et G. Tenenbaum, Entiers sans grand facteur premier en progressions arithmétiques, Proc. London Math. Soc. 63 (1991), 449-494. Zbl0745.11042
  8. [8] J. B. Friedlander, Integers free from large and small primes, Proc. London Math. Soc. 33 (1976), 565-576. Zbl0344.10021
  9. [9] A. Hildebrand, Integers free of large prime factors and the Riemann hypothesis, Mathematika 31 (1984), 258-271. Zbl0544.10042
  10. [10] A. Hildebrand, The asymptotic behaviour of the solutions of a class of differential-difference equations, J. London Math. Soc. (2) 42 (1990), 11-31. Zbl0675.34037
  11. [11] A. Hildebrand and G. Tenenbaum, On integers free of large prime factors, Trans. Amer. Math. Soc. 296 (1986), 265-290. Zbl0601.10028
  12. [12] E. Saias, Sur le nombre des entiers sans grand facteur premier, J. Number Theory 32 (1989), 78-99. Zbl0676.10028
  13. [13] E. Saias, Entiers sans grand ni petit facteur premier II, Acta Arith., à paraître. 
  14. [14] E. Saias, Entiers sans grand ni petit facteur premier III, en préparation. 
  15. [15] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Institut Elie Cartan 13, Université de Nancy I, 1990. 
  16. [16] E. T. Whittakerand G. Watson, A Course of Modern Analysis, 4th ed., Cambridge University Press, 1927. 

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