Skip to main content
SpringerLink
Log in

The exceptional set for the sum of a prime and a square

  • Published:
Acta Mathematica Hungarica 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. Bombieri, Le Grand Crible dans la Théorie Analytique des Nombres,Astérisque,18 (1974).

  2. H. Davenport,Multiplicative Number Theory, 2nd edition, Springer-Verlag, 1980.

  3. H. Davenport, H. Heilbronn, Note on a result in the additive theory of numbers,Proc. London Math. Soc.,43 (1937), 142–151.

    Google Scholar 

  4. H. Davenport, H. Heilbronn, On indefinite quadratic forms in five variables,J. London Math. Soc.,21 (1946), 185–193.

    Google Scholar 

  5. P. X. Gallagher, A large sieve density estimate near δ=1,Inventiones Math.,11 (1970), 329–339.

    Article  Google Scholar 

  6. G. H. Hardy, J. E. Littlewood, Some problems of partitio numerorum III: on the expression of a large number as a sum of primes,Acta Math.,44 (1923), 1–70.

    Google Scholar 

  7. R. J. Miech, On the equationn=p+x 2,Trans. Amer. Math. Soc.,130 (1986), 494–512.

    Google Scholar 

  8. R. J. Miech, A number theoretic constant,Acta Arith.,15 (1969), 119–137.

    Google Scholar 

  9. H. L. Montgomery,Topics in Multiplicative Number Theory, Springer Lecture Notes n0 227, 1971.

  10. H. L. Montgomery, R. C. Vaughan, The exceptional set in Goldbach's problem,Acta Arith.,27 (1975), 353–370.

    Google Scholar 

  11. I. V. Polyakov, On the exceptional set of a sum of a prime and a perfect square, translate in:Soviet Math. Doklady,24 (1981), 464–466.

    Google Scholar 

  12. I. V. Polyakov, On the exceptional set for the sum of a prime and a perfect square, translated in:Math. U.S.S.R. Izvestija,19 (1982), 611–641.

    Google Scholar 

  13. E. C. Titchmarsh,The theory of the Riemann Zeta-Function, Oxford U.P., 1951.

  14. R. C. Vaughan, On Goldbach's problem,Acta Arith.,22 (1972), 21–48.

    Google Scholar 

  15. A. I. Vinogradov, On a binary problem of Hardy-Littlewood (Russian),Acta Arith.,46 33–56.

Download references

Author information

Authors and Affiliations

  1. Sepp Herbergerstrasse 12, D-8056, Neufahrn

    R. Brünner

  2. Dipartimento di Matematica, Universita di Genova, Via L. B. Alberti 4, 16132, Genova, Italy

    A. Perelli

  3. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda U. 13-15, H-1053, Budapest

    J. Pintz

Authors
  1. R. Brünner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Perelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Pintz
    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

Brünner, R., Perelli, A. & Pintz, J. The exceptional set for the sum of a prime and a square. Acta Math Hung 53, 347–365 (1989). https://doi.org/10.1007/BF01953372

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01953372

Search

Navigation