On Diophantine quintuples

Acta Arithmetica

Volumn 81, Issue 1, 1997, Pages 69-79

  Dujella, Andrej ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039924141     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-81-1-69-79     Document Type: Article

References (17)

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2. J. Arkin and G. E. Bergum, More on the problem of Diophantus, in: Application of Fibonacci Numbers, Vol. 2, A. N. Philippou, A. F. Horadam and G. E. Bergum (eds.), Kluwer, Dordrecht, 1988, 177-181.
3. J. Arkin, V. E. Hoggatt and E. G. Straus, On Euler's solution of a problem of Diophantus, Fibonacci Quart. 17 (1979), 333-339.
4. 2, Quart. J. Math. Oxford Ser. (2) 20 (1969), 129-137.
5. Diophantus of Alexandria, Arithmetics and the Book of Polygonal Numbers, Nauka, Moscow, 1974 (in Russian).
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7. _, Diophantine quadruples for squares of Fibonacci and Lucas numbers, Portugal. Math. 52 (1995), 305-318.
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9. _, Generalization of the Problem of Diophantus and Davenport, Dissertation, University of Zagreb, 1996 (in Croatian).
10. _, Some polynomial formulas for Diophantine quadruples, Grazer Math. Ber. 328 (1996), 25-30.
11. _, A problem of Diophantus and Pell numbers, in: Application of Fibonacci Numbers, Vol. 7, Kluwer, Dordrecht, to appear.
12. P. Heichelheim, The study of positive integers (a, b) such that ab + 1 is a square, Fibonacci Quart. 17 (1979), 269-274.
13. V. E. Hoggatt and G. E. Bergum, A problem of Fermat and the Fibonacci sequence, ibid. 15 (1977), 323-330.
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15. S. P. Mohanty and M. S. Ramasamy, The characteristic number of two simultaneous Pell's equations and its application, Simon Stevin 59 (1985), 203-214.
16. V. K. Mootha, On the set of numbers {14, 22, 30, 42, 90}, Acta Arith. 71 (1995), 259-263.
17. 2 = -5, in: A Collection of Manuscripts Related to the Fibonacci Sequence, V. E. Hoggatt and M. Bicknell Johnson (eds.), The Fibonacci Association, Santa Clara, 1980, 71-75.