Glasnik Matematicki, Vol. 42, No.2 (2007), 281-289.

ON A DIOPHANTINE EQUATION RELATED TO A CONJECTURE OF ERDÖS AND GRAHAM

F. Luca and P. G. Walsh

Instituto de Matemáticas UNAM, Campus Morelia, Ap. Postal 61-3 Xangari, CP 58 089, Morelia, Michoacan, México
e-mail: fluca@matmor.unam.mx

Department of Mathematics, University of Ottawa, 585 King Edward St., Ottawa, Ontario, Canada K1N 6N5
e-mail: gwalsh@mathstat.uottawa.ca

Abstract.   A particular case of a conjecture of Erdös and Graham, which concerns the number of integer points on a family of quartic curves, is investigated. An absolute bound for the number of such integer points is obtained.

2000 Mathematics Subject Classification.   11D25.

Key words and phrases.   Linear recurrence, elliptic curve, Diophantine equation.

Full text (PDF) (free access)

DOI: 10.3336/gm.42.2.03

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