Generalization of a problem of Diophantus

Andrej Dujella

Acta Arithmetica (1993)

  • Volume: 65, Issue: 1, page 15-27
  • ISSN: 0065-1036

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Andrej Dujella. "Generalization of a problem of Diophantus." Acta Arithmetica 65.1 (1993): 15-27. <http://eudml.org/doc/206559>.

@article{AndrejDujella1993,
author = {Andrej Dujella},
journal = {Acta Arithmetica},
keywords = {perfect squares; Fibonacci numbers; property of Diophantus},
language = {eng},
number = {1},
pages = {15-27},
title = {Generalization of a problem of Diophantus},
url = {http://eudml.org/doc/206559},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Andrej Dujella
TI - Generalization of a problem of Diophantus
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 1
SP - 15
EP - 27
LA - eng
KW - perfect squares; Fibonacci numbers; property of Diophantus
UR - http://eudml.org/doc/206559
ER -

References

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  1. [1] J. Arkin and G. E. Bergum, More on the problem of Diophantus, in: Applications of Fibonacci Numbers, A. N. Philippou, A. F. Horadam and G. E. Bergum (eds.), Kluwer, Dordrecht, 1988, 177-181. Zbl0649.10011
  2. [2] A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1966. 
  3. [3] H. Davenport and A. Baker, The equations 3x² - 2 = y² and8x² - 7 = z², Quart. J. Math. Oxford Ser. (2) 20 (1969), 129-137. 
  4. [4] A. Dujella, One Diofant's problem and Fibonacci's numbers, Matematika 19 (3) (1990), 45-52 (in Croatian). 
  5. [5] A. Dujella, Generalization of a Diophantine problem, Matematika 20 (1) (1991), 22-29 (in Croatian). 
  6. [6] B. W. Jones, A variation on a problem of Davenport and Diophantus, Quart. J. Math. Oxford Ser. (2) 27 (1976), 349-353. Zbl0332.10008
  7. [7] C. Long and G. E. Bergum, On a problem of Diophantus, in: Applications of Fibonacci Numbers, A. N. Philippou, A. F. Horadam and G. E. Bergum (eds.), Kluwer, Dordrecht, 1988, 183-191. Zbl0649.10006
  8. [8] S. Vajda, Fibonacci & Lucas Numbers, and the Golden Section: Theory and Applications, Horwood, Chichester, 1989. 
  9. [9] I. M. Vinogradov, Elements of Number Theory, Dover, New York, 1954 Zbl0057.28201

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