On the Exceptional Set in the Problem of Diophantus and Davenport

Author:

Dujella Andrej

Publisher

Springer Netherlands

Reference11 articles.

1. Arkin, J. and Bergum, G.E. “More on the problem of Diophantus.” Applications of Fibonacci Numbers. Vol. 2. Edited by A.N. Philippou, A.F. Horadam and G.E. Bergum. Kluwer Academic Publishers (1988): pp. 177–181.

2. Brown, E. “Sets in which xy + k is always a square.” Mathematics of Computation, Vol. 45 (1985): pp. 613–620.

3. Davenport, H. & Baker, A. “The equations 3x 2 — 2 = y 2 and 8x 2 — 7 = z 2.” Quart. J. Math. Oxford Ser. (2), Vol. 20 (1969): pp. 129–137.

4. Diofant, Aleksandriiskii Arifmetika i kniga o mnogougol’nvh chislakh. Moscow: Nauka, 1974.

5. Dujella, A. “Generalization of a problem of Diophantus.” Acta Arithmetica, Vol. 65 (1993): pp. 15–27.

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