INTEGER SOLUTION ANALYSIS FOR A DIOPHANTINE EQUATION WITH EXPONENTIALS
By
Radhika Das1, Manju Somanath2, V A Bindu3
1,3Department of Mathematics, Rajagiri School of Engineering & Technology, Kakkanad, Cochin, Kerala, India-682039
(Research Scholar, National College, Autonomous, Aliated to Bharathidasan University, Trichy, India- 620001)
2National College,Autonomous, Aliated to Bharathidasan University, Trichy, India-620001
Email: krishnagangaradhi@gmail.com, manjuajil@yahoo.com, binduabhilash@gmail.com
(Received: July 16, 2023; In format: August 22, 2023; Revised : September 06, 2023; Accepted : September 09, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53208
Abstract
The exponential Diophantine equation is one of the distinctive types of Diophantine equations where the variables are expressed as exponents. For these equations, considerable excellent research has already been done. In this study, we try to solve the equations 3λ + 103μ = ξ2, 3λ + 181μ = ξ2, 3λ + 193μ = ξ2.
2020 Mathematical Sciences Classification: 11D09
Keywords and Phrases: Pell equation, Integer Solutions, Diophantine equations, Algebraic Number Theory, Pell equation, Integer Solutions, Diophantine equations, Algebraic Number Theory.