On the Diophantine Equation 2/x+3/y+4/z=1/2
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Abstract
In this paper, we find all solutions of the Diophantine equation where , and are positive integers.
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References
Elsholtz C. Sum of k Unit Fractions. Transactions of the American Mathematical Society. 2001; 353(8): 3209-3227.
Li D.L. Equation 4/n=1/x+1/y+1/z. Journal of Number Theory. 1981; 13(4): 485-494.
Rabago J.F.T.,Tagle R.P. On the Area and volume of a certain regular solid and the Diophantine Equation 1/2=1/x+1/y+1/z. Notes on Number Theory and Discrete Mathematics. 2013; 19(3): 28-32.
Pakapongpun A. Integral Solutions of the Diophantine Equation 1/x+2/y+3/z=1/2. Mathematical Journal. 2019; 64(699): 36-43.
Sandor J. A note on a Diophantine equation. Notes on Number Theory and Discrete Mathematics. 2013; 19(4): 1-3.
Webb W.A. On 4/n=1/x+1/y+1/z. Proceedings of American Mathematical Society. 1970; 25(3): 578-584.