Distribution des nombres ℬ -libres dans de petits intervalles

Jie Wu

Journal de théorie des nombres de Bordeaux (1993)

  • Volume: 5, Issue: 1, page 151-163
  • ISSN: 1246-7405

How to cite

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Wu, Jie. "Distribution des nombres $\mathcal {B}$-libres dans de petits intervalles." Journal de théorie des nombres de Bordeaux 5.1 (1993): 151-163. <http://eudml.org/doc/93569>.

@article{Wu1993,
author = {Wu, Jie},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {brief survey; -free numbers},
language = {fre},
number = {1},
pages = {151-163},
publisher = {Université Bordeaux I},
title = {Distribution des nombres $\mathcal \{B\}$-libres dans de petits intervalles},
url = {http://eudml.org/doc/93569},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Wu, Jie
TI - Distribution des nombres $\mathcal {B}$-libres dans de petits intervalles
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 1
SP - 151
EP - 163
LA - fre
KW - brief survey; -free numbers
UR - http://eudml.org/doc/93569
ER -

References

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  1. [1] G. Bantle and F. Grupp, On a problem of Erdös and Szemerédi, J. Number Theory22 (1986), 280-288. Zbl0578.10057MR831873
  2. [2] P. Erdös, On the difference of consecutive terms of sequences defined by divisibility properties, Acta Arith12 (1966), 175-182. Zbl0147.02601MR207673
  3. [3] M. Filaseta and O. Trifonov, On gaps between squarefree numbers II, J. London Math. Soc.45 (1992), 215-221. Zbl0799.11032MR1171549
  4. [4] E. Fouvry and H. Iwaniec, Exponential sums for monomials, J. Number Theory33 (1989), 311-333. Zbl0687.10028MR1027058
  5. [5] M. Huxley and H. Iwaniec, Bombieri's theorem in short intervals, Mathematika22 (1975), 188-194. Zbl0317.10048MR389790
  6. [6] H.L. Montgomery and R.C. Vaughan, On the large sieve, Mathematika20 (1973), 119-134. Zbl0296.10023MR374060
  7. [7] A. Perelli, J. Pintz and S. Salerno, Bombieri's theorem in short intervals, Ann. Scuola Norm. Sup. Pisa Cl. Sci.11 (1984), 529-539. Zbl0579.10019MR808422
  8. [8] V.A. Plaksin, Distribution de β-free numbers, Matematicheskie Zametki47 (1990), 69-77. Zbl0695.10037
  9. [9] E. Szemerédi, On the difference of consecutive terms of sequences defined by divisibility properties, II, Acta Arith23 (1973), 359-361. Zbl0266.10045MR330073
  10. [10] J. Wu, Sur trois questions classiques de crible: nombres premiers jumeaux, nombres P2 et nombres β-libres, Thèse de Doctorat, Université Paris-Sud, 1990. 
  11. [11] J. Wu, Théorèmes généralisés de Bombieri- Vinogradov dans les petits intervalles, Quart. J. Math. Oxford, (2), 44 (1993), 109-128. Zbl0801.11038MR1206205
  12. [12] J. Wu, Nombres B-libres dans les petits intervalles, Acta Arith., à paraître. Zbl0790.11067

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