文章基本信息
- 标题：On the Diophantine equation x2+2k=yn
- 本地全文：下载
- 作者：S. Akhtar Arif ; Fadwa S. Abu Muriefah
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1997
- 卷号：20
- 期号：2
- 页码：299-304
- DOI：10.1155/S0161171297000409
- 出版社：Hindawi Publishing Corporation
- 摘要：
By factorizing the equation x 2 + 2 k = y n , n ≥ 3 , k -even, in the field Q ( i ) , various theorems regarding the solutions of this equation in rational integers are proved. A conjecture regarding the solutions of this equation has been put forward and proved to be true for a large class of values of k and n .
