Skip to main content
SpringerLink
Log in

The diophantine equationx 4−kx 2 y 2+y 4=l

  • Published:
Archiv der Mathematik 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. Brown,x 4+dx 2 y 2+y 4=z 2; Some cases with only trivial solutions — and a solution Euler missed. Glasgow Math. J.31, 297–307 (1989).

    Google Scholar 

  2. L. E.Dickson, History of the Theory of Numbers, vol. II. New York 1952.

  3. W. Ljunggren, Über die unbestimmte GleichungAx 2−By 4=C. Arch. Math. Naturvidenskab. (10)41, 1–18 (1938).

    Google Scholar 

  4. L. J.Mordell, Diophantine Equations. New York 1969.

  5. H. C. Pocklington, Some Diophantine impossibilities. Proc. Camb. Phil. Soc.17, 108–121 (1914).

    Google Scholar 

  6. J. Wolfskill, Bounding squares in second order recurrence sequences. Acta Arith.54, 127–145 (1989–90).

    Google Scholar 

Download references

Author information

Author notes

  1. T. W. Cusick

    Present address: Department of Mathematics, State University of New York at Buffalo, 106 Diefendorf Hall, 14214, Buffalo, New York, USA

Authors and Affiliations

    Authors
    1. T. W. Cusick
      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

    Cusick, T.W. The diophantine equationx 4−kx 2 y 2+y 4=l. Arch. Math 59, 345–347 (1992). https://doi.org/10.1007/BF01197050

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01197050

    Search

    Navigation