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Title

Propriétés multiplicatives des valeurs de certains polynômes en deux variables

Authors 1

Affiliations

  1. Département de Mathématiques, Université de Nancy I, B.P. 239, 54 506 Vandœuvre-lès-Nancy Cedex, France

Bibliography

  1. [B] E. Bombieri, On exponential sums in finite fields, Amer. J. Math. 88 (1966), 71-105.
  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.
  5. [G1] G. Greaves, On the divisor-sum problem for binary cubic forms, Acta Arith. 17 (1970), 1-28.
  6. [G2] G. Greaves, Large prime factors of binary forms, J. Number Theory 3 (1971), 35-59, and Corrigendum, Acta Arith. 9 (1977), 561-562.
  7. [G3] G. Greaves, An application of a theorem of Barban, Davenport and Halberstam, Bull. London Math. Soc. 6 (1974), 1-9.
  8. [G4] G. Greaves, Power-free values of binary forms, Quart. J. Math. Oxford (2) 43 (1992), 45-65.
  9. [H-R] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974.
  10. [HB] D.-R. Heath-Brown, The square sieve and consecutive square-free numbers, Math. Ann. 266 (1984), 251-259.
  11. [H1] C. Hooley, On the greatest prime factor of a cubic polynomial, J. Reine Angew. Math. 303/304 (1978), 21-50.
  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.
  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.
  16. [N1] T. Nagell, Généralisation d'un théorème de Tchebycheff, J. Math. Pures Appl. 4 (1921), 343-356.
  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.
  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.
Acta Arithmetica
1996-1997/78/1
Export to PBN, Opens in new tab
Pages:
37-74
Main language of publication
French
Received
1996-01-24
Published
1996
Exact and natural sciences