Skip to main content
SpringerLink
Log in

Diophantine equations with at most one positive solution

  • Published:
manuscripta mathematica 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. Ke, Z., Sun, Q.: On the Diophantine equationx 4 −Dy 2 = 1,Acta Math. Sinica,23, 922–926, (1980)

    MATH  Google Scholar 

  2. Laurent, M., Mignotte, M., Nesterenko, Y.: Formes linéaires en deux logarithmes et déterminants d’interpolation,J. Nr. Theory,55, 285–321, (1995)

    Article  MATH  Google Scholar 

  3. Mignotte, M., Pethő, A.: Sur les carrés dans certain suites de Lucas,J. Théorie des Nombres de Bordeaux,5, 333–341, (1993)

    MATH  Google Scholar 

  4. Le, M.H.: A note on the Diophantine equationx 2p −Dy 2 = 1,Proc.Amer.Math.Soc.,107, 27–34, (1989)

    Article  MATH  Google Scholar 

  5. Ljunggren, W.: Über die Gleichungx 4 −Dy 2 = 1,Arch. Math.Naturv.,45(5), 61–70, (1942)

    Google Scholar 

  6. Ljunggren, W.: Zur Theorie der Gleichungx 2 + 1 =Dy 4,Avh.Norske Vid.-Akad.Oslo I(N.S.),1(5), 1–27, (1942)

    Google Scholar 

  7. Lucas, E.:Théorie des nombres, Paris, Albert Blanchard, 1961

    MATH  Google Scholar 

  8. Mordell, L.J.:Diophantine equations, New York-London, Academic Press, 1969

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics of the Romanian Academy, P.O.Box 1-764, RO-70700, Bucharest, Romania

    Mihai Cipu

Authors
  1. Mihai Cipu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by a grant from International Centre for Theoretical Physics Trieste, Italy

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cipu, M. Diophantine equations with at most one positive solution. Manuscripta Math 93, 349–356 (1997). https://doi.org/10.1007/BF02677476

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677476

Keywords

Search

Navigation