JP Journal of Algebra, Number Theory and Applications
Volume 24, Issue 1, Pages 53 - 59
(February 2012)
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USING INEQUALITIES BETWEEN RATIONAL NUMBERS TO SOLVE SYSTEMS OF TWO EXPONENTIAL DIOPHANTINE EQUATIONS
Claude Gauthier
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Abstract: We present a new method of solving systems of two exponential Diophantine equations in four unknowns. This method is based on an easy-to-do construction of rational numbers, which are ratios of powers of two given integers, between two given rational numbers. |
Keywords and phrases: system of exponential Diophantine equations, rational numbers. |
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