On the Exponential Diophantine Equations 5v + 11x + 13y = Z2, and 6x + 13y = Z2

In this paper, the Diophantine equations 5v + 11x + 13y = Z2 and 6x + 13y = Z2 have been discussed for integer solutions. The solutions of these Diophantine equations have been obtained which are given by (v,x,y,z,)=(2,1,1,7) and (0,1,1,5) and (x,y,z)=(2,1,7) respectively.

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Publication Details

Journal
Arya Bhatta Journal of Mathematics and Informatics
Published
2025-01-01
DOI
https://doi.org/10.5958/2394-9309.2025.00016.8
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

On the Exponential Diophantine Equations 5v + 11x + 13y = Z2, and 6x + 13y = Z2

Smiti Aggarwal, Meenakshi Panchal
Arya Bhatta Journal of Mathematics and Informatics
Algebraic Geometry and Number Theory
article

On the Exponential Diophantine Equations 5v + 11x + 13y = Z2, and 6x + 13y = Z2

Smiti Aggarwal, Meenakshi Panchal
article en

Abstract

In this paper, the Diophantine equations 5v + 11x + 13y = Z2 and 6x + 13y = Z2 have been discussed for integer solutions. The solutions of these Diophantine equations have been obtained which are given by (v,x,y,z,)=(2,1,1,7) and (0,1,1,5) and (x,y,z)=(2,1,7) respectively.

Arya Bhatta Journal of Mathematics and InformaticsVol. 17(1)
Openalex Percentile: Top 80%
Algebraic Geometry and Number Theory
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