Skip to main content
Log in

On generalized Lehmer sequences

  • 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

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

Instant access to the full article PDF.

References

  1. P. Kiss, Zero terms in second order linear recurrences,Math. Seminar Notes (Kobe Univ.),7 (1979), 145–152.

    Google Scholar 

  2. D. H. Lehmer, An extended theory of Lucas' functions,Ann. Math.,31 (1930), 419–448.

    MathSciNet  Google Scholar 

  3. K. Mahler, A remark on recursive sequences,Jour. Math. Sci.,1 (1966), 12–17.

    Google Scholar 

  4. M. Mignotte, A note on linear recursive sequences,Jour. Austral. Math. Soc.,20 (1975), 242–244.

    Google Scholar 

  5. I. Niven and H. S. Zuckerman,An introduction to the theory of numbers, J. Wiley (New York, 1960).

    Google Scholar 

  6. T. N. Shorey and C. L. Stewart, On the Diophantine equationsax 2t++bx t y+cy 2=d and pure powers in recurrence sequences,Math. Scand.,52 (1983), 24–36.

    Google Scholar 

  7. C. L. Stewart, Primitive divisors of Lucas and Lehmer numbers,Transcendence theory: Advances and Applications, Proceedings of the Conference (Cambridge, 1976), London-New York-San Francisco, 1977.

  8. M. Waldschmidt, A lower bound for linear forms in logarithms,Acta Arith.,37 (1979), 257–283.

    Google Scholar 

  9. M. Ward, The intrinsic divisors of Lehmer numbers,Ann. of Math.,2 (62) (1955), 230–236.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research (partially) supported by Hungarian National Foundation for Scientific Research Grant No. 907.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phong, B.M. On generalized Lehmer sequences. Acta Math Hung 57, 201–211 (1991). https://doi.org/10.1007/BF01903671

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01903671

Navigation