International Journal of Mathematics and Mathematical Sciences

PDF
International Journal of Mathematics and Mathematical Sciences / 2001 / Article

On this page

AbstractCopyright

Open Access

Volume 28 |Article ID 962493 | 5 pages | https://doi.org/10.1155/S0161171201006445

On the Diophantine equation x3=dy2±q6

Fadwa S. Abu Muriefah1

1Mathematics Department, Girls College of Education, Riyadh, Saudi Arabia

Received21 Dec 2000

Abstract

Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

50 Views | 320 Downloads | 1 Citation
PDF Download Citation Citation
Order printed copiesOrder

We are committed to sharing findings related to COVID-19 as quickly and safely as possible. Any author submitting a COVID-19 paper should notify us at help@hindawi.com to ensure their research is fast-tracked and made available on a preprint server as soon as possible. We will be providing unlimited waivers of publication charges for accepted articles related to COVID-19. Sign up here as a reviewer to help fast-track new submissions.