Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y

Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y

The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the exi...

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Bibliographic Details
Main Authors: Shahrina Ismail, Kamel Ariffin Mohd Atan, Diego Sejas Viscarra, Kai Siong Yow
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2023-10-01
Series:مجلة بغداد للعلوم
Subjects:
Algebraic properties, Diophantine equation, Gaussian integer, quartic equation, nontrivial solutions, symmetrical solutions.
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7344
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