On the solution of the exponential Diophantine equation 2x+m2y=z2, for any positive integer m

It is well known that the exponential Diophantine equation 2x+ 1=z2 has the unique solution x=3 and z=3 innon-negative integers, which is closely related to the Catlan's conjecture. In this paper, we show that for m∈N, m>1, the exponential Diophantine equation 2x+m2y=z2 admits a solution in...

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Bibliographic Details
Main Authors: Mridul Dutta, Padma Bhushan Borah
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2023-12-01
Series:Journal of Hyperstructures
Subjects:
Online Access:https://jhs.uma.ac.ir/article_2591_aa4628780030854e2945e50ed8c2857a.pdf
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