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On a generalization of a problem of Erdős and Graham

Tengely, Szabolcs and Varga, Nóra (2014) On a generalization of a problem of Erdős and Graham. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2014. &-&. ISSN 0033-3883

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Abstract

Abstract. In this paper we provide bounds for the size of the solutions of the Diophantine equation x(x+1)(x+2)(x+3) (x+a)(x+b) = y2, where a, b ∈ Z, a 6= b are parameters. We also determine all integral solutions for a, b ∈ {−4,−3,−2,−1, 4, 5, 6, 7}.

Item Type: Article
Uncontrolled Keywords: Diophantine equations.
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 15:05
Last Modified: 06 Feb 2014 15:05
URI: http://real.mtak.hu/id/eprint/9996

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