Le plus grand facteur premier de n² + 1 où est presque premier

Cécile Dartyge

Acta Arithmetica (1996)

  • Volume: 76, Issue: 3, page 199-226
  • ISSN: 0065-1036

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Cécile Dartyge. "Le plus grand facteur premier de n² + 1 où est presque premier." Acta Arithmetica 76.3 (1996): 199-226. <http://eudml.org/doc/206896>.

@article{CécileDartyge1996,
author = {Cécile Dartyge},
journal = {Acta Arithmetica},
keywords = {linear sieve of Iwaniec; square sieve of Heath-Brown; largest prime factor; Chebyshev-Hooley method; sieve of dimension two; trigonometrical sums},
language = {fre},
number = {3},
pages = {199-226},
title = {Le plus grand facteur premier de n² + 1 où est presque premier},
url = {http://eudml.org/doc/206896},
volume = {76},
year = {1996},
}

TY - JOUR
AU - Cécile Dartyge
TI - Le plus grand facteur premier de n² + 1 où est presque premier
JO - Acta Arithmetica
PY - 1996
VL - 76
IS - 3
SP - 199
EP - 226
LA - fre
KW - linear sieve of Iwaniec; square sieve of Heath-Brown; largest prime factor; Chebyshev-Hooley method; sieve of dimension two; trigonometrical sums
UR - http://eudml.org/doc/206896
ER -

References

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  1. [D] P. Deligne, Application de la formule des traces aux sommes trigonométriques, in: Séminaire de géométrie algébrique du Bois Marie-SGA 4 1/2, Lecture Notes in Math. 569, Springer, 1977, 168-232. Zbl0349.10031
  2. [D-I1] J.-M. Deshouillers and H. Iwaniec, On the greatest prime factor of n²+1, Ann. Inst. Fourier (Grenoble) 32 (4) (1982), 1-11. 
  3. [D-I2] J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288. Zbl0502.10021
  4. [H-R] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974. Zbl0298.10026
  5. [HB] D. R. Heath-Brown, The square sieve and consecutive square-free numbers, Math. Ann. 266 (1984), 251-259. Zbl0514.10038
  6. [Ho] C. Hooley, Applications of Sieve Methods to the Theory of Numbers, Cambridge University Press, London, 1976. Zbl0327.10044
  7. [Hu] L. K. Hua, Introduction to Number Theory, Springer, 1982. 
  8. [I1] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320. Zbl0444.10038
  9. [I2] H. Iwaniec, On the Brun-Titchmarsh theorem, J. Math. Soc. Japan 34 (1982), 95-123. Zbl0486.10033
  10. [T] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Cours spécialisés, collection SMF, No. 1, 1995. 
  11. [W] D. Wolke, Über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen. 2, Math. Ann. 204 (1973), 145-153. 

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