Méthodes de crible et fonctions sommes des chiffres

E. Fouvry; C. Mauduit

Acta Arithmetica (1996)

  • Volume: 77, Issue: 4, page 339-351
  • ISSN: 0065-1036

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E. Fouvry, and C. Mauduit. "Méthodes de crible et fonctions sommes des chiffres." Acta Arithmetica 77.4 (1996): 339-351. <http://eudml.org/doc/206923>.

@article{E1996,
author = {E. Fouvry, C. Mauduit},
journal = {Acta Arithmetica},
keywords = {sum of the digits; Bombieri-Vinogradov theorem; sieve; von Mangoldt function},
language = {fre},
number = {4},
pages = {339-351},
title = {Méthodes de crible et fonctions sommes des chiffres},
url = {http://eudml.org/doc/206923},
volume = {77},
year = {1996},
}

TY - JOUR
AU - E. Fouvry
AU - C. Mauduit
TI - Méthodes de crible et fonctions sommes des chiffres
JO - Acta Arithmetica
PY - 1996
VL - 77
IS - 4
SP - 339
EP - 351
LA - fre
KW - sum of the digits; Bombieri-Vinogradov theorem; sieve; von Mangoldt function
UR - http://eudml.org/doc/206923
ER -

References

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  1. [Bo1] E. Bombieri, The asymptotic sieve, Rend. Accad. Naz. Sci. XL Mem. Mat. (5) 1/2 (1975-76), 243-269. 
  2. [Bo2] E. Bombieri, On twin almost primes, Acta Arith. 28 (1975), 177-193 et Corrigendum, 457-461. 
  3. [Fo] E. Fouvry, Sur le problème des diviseurs de Titchmarsh, J. Reine Angew. Math. 357 (1985), 51-76. Zbl0547.10039
  4. [Fo-I] E. Fouvry and H. Iwaniec, Gaussian primes, preprint. 
  5. [Fo-M] E. Fouvry et C. Mauduit, Sommes des chiffres et nombres presque premiers, Math. Ann. 305 (1996), 571-599. 
  6. [Fo-T] E. Fouvry et G. Tenenbaum, Répartition statistique des entiers sans grand facteur premier dans les progressions arithmétiques, Proc. London Math. Soc. (3) 72 (1996), 481-514. 
  7. [Fr-I1] J. Friedlander and H. Iwaniec, On Bombieri's asymptotic sieve, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 4 (1978), 719-756. Zbl0396.10037
  8. [Fr-I2] J. Friedlander and H. Iwaniec, Bombieri's sieve, dans: Conference on Analytic Number Theory, in honour of H. Halberstam, Urbana 1995, à paraître. 
  9. [Ge] A. O. Gelfond, Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arith. 13 (1968), 259-265. Zbl0155.09003
  10. [Gra] A. Granville, Integers without large prime factors in arithmetic progressions, I, Acta Math. 170 (1993), 255-273. Zbl0784.11045
  11. [Gre] G. Greaves, A weighted sieve of Brun's type, Acta Arith. 40 (1982), 297-332. Zbl0412.10033
  12. [H-R] H. Halberstam and H. E. Richert, Sieve Methods, Academic Press, 1974. 
  13. [Iw] H. Iwaniec, Rosser's sieve - bilinear forms of the remainder term - some applications, dans: Recent Progress in Analytic Number Theory, Vol. 1, H. Halberstam and C. Hooley (eds.), Academic Press, 1981, 203-230. 

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