Original scientific paper

https://doi.org/10.3336/gm.42.2.03

On a diophantine equation related to a conjecture of Erdös and Graham

Florian Luca ; Instituto de Matemáticas UNAM, Campus Morelia, Ap. Postal 61-3 Xangari, CP 58 089, Morelia, Michoacan, México
P. G. Walsh ; Department of Mathematics, University of Ottawa, 585 King Edward St., Ottawa, Ontario, Canada K1N 6N5

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.

Keywords

Linear recurrence; elliptic curve; Diophantine equation

Hrčak ID:

17940

URI

https://hrcak.srce.hr/17940

Publication date:

11.12.2007.

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