Squares in Lucas sequenceshaving an even first parameter

Paulo Ribenboim; Wayne McDaniel

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 1, page 29-34
  • ISSN: 0010-1354

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Ribenboim, Paulo, and McDaniel, Wayne. "Squares in Lucas sequenceshaving an even first parameter." Colloquium Mathematicae 78.1 (1998): 29-34. <http://eudml.org/doc/210602>.

@article{Ribenboim1998,
author = {Ribenboim, Paulo, McDaniel, Wayne},
journal = {Colloquium Mathematicae},
keywords = {Lucas sequences; recursive sequences; perfect squares},
language = {eng},
number = {1},
pages = {29-34},
title = {Squares in Lucas sequenceshaving an even first parameter},
url = {http://eudml.org/doc/210602},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Ribenboim, Paulo
AU - McDaniel, Wayne
TI - Squares in Lucas sequenceshaving an even first parameter
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 1
SP - 29
EP - 34
LA - eng
KW - Lucas sequences; recursive sequences; perfect squares
UR - http://eudml.org/doc/210602
ER -

References

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  1. [1] J. H. E. Cohn, Squares in some recurrent sequences, Pacific J. Math. 41 (1972), 631-646. Zbl0248.10016
  2. [2] W. Ljunggren, Über die unbestimmte Gleichung A x 2 - B y 4 = C , Arch. Math. Naturvid. 41 (1938), 3-18. Zbl64.0975.05
  3. [3] W. Ljunggren, Zur Theorie der Gleichung x 2 + 1 = D y 4 , Avh. Norske Vid. Akad. Oslo. I, No. 5 (1942), 1-26. 
  4. [4] W. Ljunggren, New propositions about the indeterminate equation x n - 1 x - 1 = y q , Norske Mat. Tidskr. 25 (1943), 17-20. 
  5. [5] L. J. Mordell, Diophantine Equations, Pure Appl. Math. 30, Academic Press, London, 1969. 
  6. [6] A. Pethő, Perfect powers in second order linear recurrences, J. Number Theory 15 (1982), 5-13. Zbl0488.10009
  7. [7] P. Ribenboim, The Book of Prime Number Records, Springer, New York, 1989. Zbl0642.10001
  8. [8] P. Ribenboim and W. L. McDaniel, The square terms in Lucas sequences, J. Number Theory 58 (1996), 104-123. Zbl0851.11011
  9. [9] N. Robbins, Some identities and divisibility properties of linear second-order recursion sequences, Fibonacci Quart. 20 (1982), 21-24. Zbl0469.10003
  10. [10] A. Rotkiewicz, Applications of Jacobi's symbol to Lehmer's numbers, Acta Arith. 42 (1983), 163-187. Zbl0519.10004

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