Skip to main content
SpringerLink
Log in

Artin’s conjecture for primitive roots

  • Article
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. E. Artin,Collected Papers, Reading, MA: Addison-Wesley (1965).

    Book  MATH  Google Scholar 

  2. E. Bombieri, Le grand crible dans la théorie analytique des nombres,Astérisque 18 (1974).

  3. E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli,Acta Math. 156 (1986), 203–251.

    Article  MATH  MathSciNet  Google Scholar 

  4. E. Fouvry and H. Iwaniec, Primes in arithmetic progressions,Acta Arith. 42 (1983), 197–218.

    MATH  MathSciNet  Google Scholar 

  5. E. Fouvry, Autour du théorème de Bombieri-Vinogradov,Acta Math. 152 (1984), 219–244.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. Gupta and M. Ram Murty, A remark on Artin’s conjecture,Inventiones Math. 78 (1984), 127–130.

    Article  MATH  MathSciNet  Google Scholar 

  7. R. Gupta and M. Ram Murty, Primitive points on elliptic curves,Compositio Math. 58 (1986), 13–44.

    MATH  MathSciNet  Google Scholar 

  8. R. Gupta, V. Kumar Murty, and M. Ram Murty, The Euclidean algorithm for S integers,CNS Conference Proceedings, Vol. 7 (1985), 189–202.

    MathSciNet  Google Scholar 

  9. D. R. Heath-Brown, Artin’s conjecture for primitive roots,Quart. J. Math. Oxford (2) 37 (1986), 27–38.

    Article  MATH  MathSciNet  Google Scholar 

  10. C. Hooley, On Artin’s conjecture,J. reine angew. Math. 226 (1967), 209–220.

    Google Scholar 

  11. H. Iwaniec, Rosser’s sieve,Acta Arith. 36 (1980), 171–202.

    MATH  MathSciNet  Google Scholar 

  12. H. Iwaniec, A new form of the error term in the linear sieve,Acta Arith. 37 (1980), 307–320.

    MATH  MathSciNet  Google Scholar 

  13. H. Iwaniec, Primes of the type (x,y)+A, where φ is a quadratic form,Acta Arith. 21 (1972), 203–224.

    MATH  MathSciNet  Google Scholar 

  14. S. Lang and H. Trotter, Primitive points on elliptic curves,Bulletin Amer. Math. Soc. 83 (1977), 289–292.

    Article  MATH  MathSciNet  Google Scholar 

  15. C. R. Matthews, Counting points modulop for some finitely generated subgroups of algebraic groups,Bulletin London Math. Soc. 14 (1982), 149–154.

    Article  MATH  MathSciNet  Google Scholar 

  16. M. Ram Murty and S. Srinivasan, Some remarks on Artin’s conjecture,Canadian Math. Bull. 30 (1987), 80–85.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, McGill University, H3A 2K6, Montréal, Canada

    M. Ram Murty

Authors
  1. M. Ram Murty
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Murty, M.R. Artin’s conjecture for primitive roots. The Mathematical Intelligencer 10, 59–67 (1988). https://doi.org/10.1007/BF03023749

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03023749

Keywords

Search

Navigation