Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
69-79
Opis fizyczny
Daty
wydano
1997
otrzymano
1996-10-08
Twórcy
autor
- Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia
Bibliografia
- [1] J. Arkin, D. C. Arney, F. R. Giordano, R. A. Kolb and G. E. Bergum, An extension of an old classical Diophantine problem, in: Application of Fibonacci Numbers, Vol. 5, G. E. Bergum, A. N. Philippou and A. F. Horadam (eds.), Kluwer, Dordrecht, 1993, 45-48.
- [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] H. Davenport and A. Baker, The equations 3x²-2 = y² and 8x²-7 = z², 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).
- [6] A. Dujella, Generalization of a problem of Diophantus, Acta Arith. 65 (1993), 15-27.
- [7] A. Dujella, Diophantine quadruples for squares of Fibonacci and Lucas numbers, Portugal. Math. 52 (1995), 305-318.
- [8] A. Dujella, Generalized Fibonacci numbers and the problem of Diophantus, Fibonacci Quart. 34 (1996), 164-175.
- [9] A. Dujella, Generalization of the Problem of Diophantus and Davenport, Dissertation, University of Zagreb, 1996 (in Croatian).
- [10] A. Dujella, Some polynomial formulas for Diophantine quadruples, Grazer Math. Ber. 328 (1996), 25-30.
- [11] A. Dujella, 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.
- [14] C. Long and G. E. Bergum, On a problem of Diophantus, in: Application of Fibonacci Numbers, Vol. 2, A. N. Philippou, A. F. Horadam and G. E. Bergum (eds.), Kluwer, Dordrecht, 1988, 183-191.
- [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] M. Veluppillai, The equations z²-3y² = -2 and z²-6x² = -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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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