Fourth power diophantine equations in Gaussian integers |
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| Authors: | Farzali Izadi Naghdali Forooshani Rasool Amiryousefi Varnousfaderani Amaneh |
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| Institution: | 1.Department of Pure Mathematics, Faculty of Science,Urmia University,Urmia,Iran;2.Department of Mathematics,Azarbaijan Shahid Madani University,Tabriz,Iran;3.Department of Mathematics,Isfahan University of Technology,Isfahan,Iran |
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| Abstract: | In this paper, we examine a class of fourth power diophantine equations of the form \(x^4+kx^2y^2+y^4=z^2\) and \(ax^4+by^4=cz^2\), in the Gaussian integers, where a and b are prime integers. |
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