Autour du théorème de Bombieri-Vinogradov. II

Étienne Fouvry

Annales scientifiques de l'École Normale Supérieure (1987)

  • Volume: 20, Issue: 4, page 617-640
  • ISSN: 0012-9593

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Fouvry, Étienne. "Autour du théorème de Bombieri-Vinogradov. II." Annales scientifiques de l'École Normale Supérieure 20.4 (1987): 617-640. <http://eudml.org/doc/82216>.

@article{Fouvry1987,
author = {Fouvry, Étienne},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {arithmetic function; Brun-Titchmarsh theorem; distribution of primes; arithmetic progressions},
language = {fre},
number = {4},
pages = {617-640},
publisher = {Elsevier},
title = {Autour du théorème de Bombieri-Vinogradov. II},
url = {http://eudml.org/doc/82216},
volume = {20},
year = {1987},
}

TY - JOUR
AU - Fouvry, Étienne
TI - Autour du théorème de Bombieri-Vinogradov. II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 4
SP - 617
EP - 640
LA - fre
KW - arithmetic function; Brun-Titchmarsh theorem; distribution of primes; arithmetic progressions
UR - http://eudml.org/doc/82216
ER -

References

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  1. [1] A. BALOG, On Additive Representation of Integers (preprint). Zbl0689.10050
  2. [2] E. BOMBIERI, On the Large-Sieve (Mathematika, vol. 12, 1965, p. 201-225). Zbl0136.33004MR33 #5590
  3. [3] E. BOMBIERI, J. FRIEDLANDER et H. IWANIEC, Primes in Arithmetic Progressions to Large Moduli (Acta Math., vol. 156, 1986, p. 203-251). Zbl0588.10042MR88b:11058
  4. [4] E. BOMBIERI, J. FRIEDLANDER et H. IWANIEC, Primes in Arithmetic Progressions to Large Moduli, II (Math. Annalen, vol. 277, 1987, p. 361-393). Zbl0625.10036MR88f:11085
  5. [5] J.-M. DESHOUILLERS et H. IWANIEC, Kloosterman Sums and the Fourier Coefficients of Cusp Forms (Invent. Math., vol. 70, 1982, p. 219-288). Zbl0502.10021MR84m:10015
  6. [6] E. FOUVRY, Répartition des suites dans les progressions arithmétiques. Résultats du type Bombieri-Vinogradov avec exposant supérieur à 1/2 (Thèse de Doctorat ès-Sciences, Université de Bordeaux-I, 1981). Zbl0469.10028
  7. [7] E. FOUVRY, Répartition des suites dans les progressions arithmétiques (Acta Arith., vol. 41, 1982, p. 49-72). Zbl0469.10028MR84b:10065
  8. [8] E. FOUVRY, Autour du théorème de Bombieri-Vinogradov (Acta Math., vol. 152, 1984, p. 219-244). Zbl0552.10024MR85m:11052
  9. [9] E. FOUVRY, Théorème de Brun-Titchmarsh; application au théorème de Fermat (Invent. Math., vol. 79, 1985, p. 383-407). Zbl0557.10035MR86g:11052
  10. [10] E. FOUVRY et F. GRUPP, On the Switching Principle in Sieve Theory (J. fur die reine und angewandte Mathematik, vol. 370, 1986, p. 101-126). Zbl0588.10051MR87j:11092
  11. [11] E. FOUVRY et H. IWANIEC, On a Theorem of Bombieri-Vinogradov-Type (Mathematika, vol. 27, 1980, p. 135-172). Zbl0469.10027MR82h:10057
  12. [12] E. FOUVRY et H. IWANIEC, Primes in Arithmetic Progressions (Acta Arith., vol. 42, 1983, p. 197-218). Zbl0517.10045MR84k:10035
  13. [13] C. HOOLEY, Applications of Sieve Methods to the Theory of Numbers, Cambridge University Press, n° 70, 1976. Zbl0327.10044MR53 #7976
  14. [14] H. IWANIEC, A New Form of the Error Term in the Linear Sieve (Acta Arith., vol. 37, 1980, p. 307-320). Zbl0444.10038MR82d:10069
  15. [15] H. IWANIEC, On the Brun-Titchmarsh Theorem (J. Math. Soc. of Japan, vol. 34, 1982, p. 95-123). Zbl0486.10033MR83a:10082
  16. [16] P. SHIU, A Brun Titchmarsh Theorem for Multiplicative Functions (J. fur die reine und angewandte Mathematik, vol. 313, 1980, p. 161-170). Zbl0412.10030MR81h:10065
  17. [17] A. I. VINOGRADOV. L'hypothèse de densité pour les séries L de Dirichlet (en russe) (Izv. Akad. Nauk S.S.S.R., Ser. Math., vol. 29, 1965, p. 903-904 ; Corrigendum (Ibid., vol. 30, 1966, p. 719-720). Zbl0128.04205

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