On the Diophantine equation x 3 = d y 2 ± q 6

Fadwa S. Abu Muriefah

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-5

Abstract:

Let q > 3 denote an odd prime and d a positive integer without any prime factor p ≡ 1 ( mod 3 ) . In this paper, we have proved that if ( x , q ) = 1 , then x 3 = d y 2 ± q 6 has exactly two solutions provided q ≢ ± 1 ( mod 24 ) .

Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/28/962493.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/28/962493.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:962493

DOI: 10.1155/S0161171201006445

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().