Skip to main content
Log in

On the diophantine equation 1k+2k+...+x k+R(x)=y z

  • Published:
Acta Mathematica

An Erratum to this article was published on 01 December 1987

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

Access this article

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

Instant access to the full article PDF.

References

  1. Györy, K., Tijdeman, R. & Voorhoeve, M., On the equation 1k+2k+...+x k=y z.Acta Arith., 37 to appear.

  2. Le Veque, W. J., On the equationy m=f(x).Acta Arith., 9 (1964), 209–219.

    MathSciNet  Google Scholar 

  3. Rademacher, H.,Topics in Analytic Number Theory. Springer Verlag, Berlin, 1973.

    Book  MATH  Google Scholar 

  4. Schäffer, J. J., The equation 1p+2p+3p+...+n p=m q.Acta Math., 95 (1956), 155–159.

    Article  MathSciNet  MATH  Google Scholar 

  5. Schinzel, A. &Tijdeman, R., On the equationy m=P(x) Acta Arith., 31 (1976), 199–204.

    MathSciNet  Google Scholar 

  6. Shorey, T. N., van der Poorten, A. J., Tijdeman, R. & Schinzel, A., Applications of the Gel'fond-Baker method to Diophantine equations.Transcendence Theory: Advances and Applications, pp. 59–78, Academic Press, 1977.

Download references

Author information

Authors and Affiliations

Authors

Additional information

An erratum to this article can be found online at http://dx.doi.org/10.1007/BF02392557.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voorhoeve, M., Györy, K. & Tijdeman, R. On the diophantine equation 1k+2k+...+x k+R(x)=y z . Acta Math. 143, 1–8 (1979). https://doi.org/10.1007/BF02392086

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392086

Keywords

Navigation