AIMS Mathematics, 2017, 2(1): 111-127. doi: 10.3934/Math.2017.1.111

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On the Diophantine equation $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{3p}$

School of Mathematics and Information, China West Normal University, Nanchong 637009, P.R.China

In the present paper we obtained all positive integer solutions of some diophantine equations related to unit fraction.
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Keywords diophantine equation; greatest common divisor; prime number; positive integer solution;fraction

Citation: Xiaodan Yuan, Jiagui Luo. On the Diophantine equation $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{3p}$. AIMS Mathematics, 2017, 2(1): 111-127. doi: 10.3934/Math.2017.1.111

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Copyright Info: © 2017, Jiagui Luo, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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