On the Diophantine Equation 1/w+1/x+1/y+1/z=u/u+1
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Abstract
In 2023, Wongsanurak and Duangdai found all positive integer solutions of the Diophantine equation , when
and
are positive integers with
and
. In this work, by using an elementary approach, we solved the Diophantine equation for any positive integer
and
. The results of the research found that the Diophantine equation under the above conditions has twenty-seven positive integer solutions.
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References
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