On the Diophantine equation x 2 + 2 k = y n

S. Akhtar Arif and Fadwa S. Abu Muriefah

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-6

Abstract:

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 .

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:610948

DOI: 10.1155/S0161171297000409

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