Propriétés multiplicatives des valeurs de certains polynômes en deux variables

C. Dartyge

Acta Arithmetica (1996)

  • Volume: 78, Issue: 1, page 37-74
  • ISSN: 0065-1036

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C. Dartyge. "Propriétés multiplicatives des valeurs de certains polynômes en deux variables." Acta Arithmetica 78.1 (1996): 37-74. <http://eudml.org/doc/206932>.

@article{C1996,
author = {C. Dartyge},
journal = {Acta Arithmetica},
keywords = {values of polynomials in two variables; largest prime factor; sieve with weights},
language = {fre},
number = {1},
pages = {37-74},
title = {Propriétés multiplicatives des valeurs de certains polynômes en deux variables},
url = {http://eudml.org/doc/206932},
volume = {78},
year = {1996},
}

TY - JOUR
AU - C. Dartyge
TI - Propriétés multiplicatives des valeurs de certains polynômes en deux variables
JO - Acta Arithmetica
PY - 1996
VL - 78
IS - 1
SP - 37
EP - 74
LA - fre
KW - values of polynomials in two variables; largest prime factor; sieve with weights
UR - http://eudml.org/doc/206932
ER -

References

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  2. [B-F] J. Brüdern et E. Fouvry, Le crible à vecteurs, Compositio Math. 102 (1996), 337-355. 
  3. [D] C. Dartyge, Propriétés multiplicatives des valeurs de certains polynômes, Thèse de doctorat ès sciences, Université de Paris XI, Orsay, 1994. 
  4. [D-I] J.-M. Deshouillers and H. Iwaniec, On the greatest prime factor of n²+1, Ann. Inst. Fourier (Grenoble) 32 (4) (1982), 1-11. Zbl0489.10038
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  8. [G4] G. Greaves, Power-free values of binary forms, Quart. J. Math. Oxford (2) 43 (1992), 45-65. Zbl0768.11034
  9. [H-R] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974. Zbl0298.10026
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  12. [H2] C. Hooley, On exponential sums and certain of their applications, in: Journées Arithmétiques, London Math. Soc. Lecture Note Ser. 56, Cambridge Univ. Press, 1980, 92-122. 
  13. [I] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320. Zbl0444.10038
  14. [K-L] N. M. Katz et G. Laumon, Transformation de Fourier et majoration de sommes d'exponentielles, Publ. Math. I.H.E.S. 62 (1985), 361-418. 
  15. [L] G. Laumon, Majoration de sommes d'exponentielles attachées aux hypersurfaces diagonales, Ann. Sci. École Norm. Sup. (4) 16 (1983), 1-58. Zbl0518.10043
  16. [N1] T. Nagell, Généralisation d'un théorème de Tchebycheff, J. Math. Pures Appl. 4 (1921), 343-356. Zbl48.1173.01
  17. [N2] T. Nagell, Introduction to the Number Theory, New York, 1951. 
  18. [P] V. A. Plaksin, An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers, Math. USSR-Izv. 18 (1982), 275-348. Zbl0482.10045
  19. [Si] J. H. Silverman, The Arithmetic of Elliptic Curves, Grad. Texts in Math. 106, Springer, New York, 1986. 
  20. [Sm] H. J. S. Smith, Report on the Theory of Numbers, Chelsea, New York, 1965. 

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