Integer Solutions of the Diophantine Equation \(\left (1-\frac{1}{\mathit{x}}\right)\) \(\left (1-\frac{1}{\mathit{y}}\right)\) \(\left (1-\frac{1}{\mathit{z}}\right)\) = \(\frac{1}{\mathit{l}}\)
Qiang Wang *
Huaide College, Changzhou University, P.R. China and Aliyun School of Big Data, Changzhou University, P.R. China.
Qingwei Tu
Huaide College, Changzhou University, P.R. China and Aliyun School of Big Data, Changzhou University, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we mainly find all solutions of the diophantine equation \(\left (1-\frac{1}{\mathit{x}}\right)\) \(\left (1-\frac{1}{\mathit{y}}\right)\) \(\left (1-\frac{1}{\mathit{z}}\right)\) = \(\frac{1}{\mathit{l}}\) in integer variables (\(\mathit{x}\), \(\mathit{y}\), \(\mathit{z}\), \(\mathit{l}\) ).
Keywords: Diophantine equation, integer solution
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References
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