Generalization of a problem of Diophantus

• Autorzy: Andrej Dujella
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 15-27

Daty

wydano

1993

otrzymano

1991-12-18

poprawiono

1993-03-10

Twórcy

autor

Andrej Dujella

• Department of Mathematics, University of Zagreb, Bijenička Cesta 30, 41000 Zagreb, Croatia

Bibliografia

• [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.
• [2] A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1966.
• [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] A. Dujella, One Diofant's problem and Fibonacci's numbers, Matematika 19 (3) (1990), 45-52 (in Croatian).
• [5] A. Dujella, Generalization of a Diophantine problem, Matematika 20 (1) (1991), 22-29 (in Croatian).
• [6] B. W. Jones, A variation on a problem of Davenport and Diophantus, Quart. J. Math. Oxford Ser. (2) 27 (1976), 349-353.
• [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.
• [8] S. Vajda, Fibonacci & Lucas Numbers, and the Golden Section: Theory and Applications, Horwood, Chichester, 1989.
• [9] I. M. Vinogradov, Elements of Number Theory, Dover, New York, 1954