Nombres 𝓑-libres dans les petits intervalles

J. Wu

Acta Arithmetica (1993)

  • Volume: 65, Issue: 2, page 97-116
  • ISSN: 0065-1036

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J. Wu. "Nombres 𝓑-libres dans les petits intervalles." Acta Arithmetica 65.2 (1993): 97-116. <http://eudml.org/doc/206572>.

@article{J1993,
author = {J. Wu},
journal = {Acta Arithmetica},
keywords = {-free numbers; short intervals; estimates for exponential sums; squarefree numbers},
language = {fre},
number = {2},
pages = {97-116},
title = {Nombres 𝓑-libres dans les petits intervalles},
url = {http://eudml.org/doc/206572},
volume = {65},
year = {1993},
}

TY - JOUR
AU - J. Wu
TI - Nombres 𝓑-libres dans les petits intervalles
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 2
SP - 97
EP - 116
LA - fre
KW - -free numbers; short intervals; estimates for exponential sums; squarefree numbers
UR - http://eudml.org/doc/206572
ER -

References

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  1. [1] G. Bantle and F. Grupp, On a problem of Erdős and Szemerédi, J. Number Theory 22 (1986), 280-288. Zbl0578.10057
  2. [2] E. Bombieri, J. B. Friedlander and H. Iwaniec, Primes in arithmetic progressions to large moduli, Acta Math. 156 (1986), 203-251. Zbl0588.10042
  3. [3] E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472. Zbl0615.10047
  4. [4] N. G. de Bruijn, On the number of uncancelled elements in the sieve of Eratosthenes, Indag. Math. 12 (1949-1950), 247-256. 
  5. [5] P. Erdős, On the difference of consecutive terms of sequences defined by divisibility properties, Acta Arith. 12 (1966), 175-182. Zbl0147.02601
  6. [6] M. Filaseta and O. Trifonov, On gaps between squarefree numbers II, J. London Math. Soc. (2) 45 (1992), 215-221. Zbl0799.11032
  7. [7] E. Fouvry and H. Iwaniec, Exponential sums for monomials, J. Number Theory 33 (1989), 311-333. Zbl0687.10028
  8. [8] J. B. Friedlander, Integers free from large and small primes, Proc. London Math. Soc. (3) 33 (1976), 565-576. Zbl0344.10021
  9. [9] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge University Press, 1991. Zbl0713.11001
  10. [10] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266. Zbl0513.10042
  11. [11] E. Szemerédi, On the difference of consecutive terms of sequences defined by divisibility properties II, Acta Arith. 23 (1973), 359-361. Zbl0266.10045
  12. [12] J. Wu, Sur trois questions classiques de crible: nombres premiers jumeaux, nombres P et nombres -libres, Thèse de Doctorat, Université d’Orsay, 1990 

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