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Gaussian Integer Solutions Of The Diophantine Equation 𝒙𝟒 + 𝒚𝟒 = 𝒛𝟑 For 𝒙 ≠ 𝒚

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dc.contributor.authorShahrina Ismailen_US
dc.contributor.authorKamel Ariffin Mohd Atanen_US
dc.contributor.authorDiego Sejas-Viscarraen_US
dc.contributor.authorKai Siong Yowen_US
dc.date.accessioned2024-05-28T06:52:23Z
dc.date.available2024-05-28T06:52:23Z
dc.date.issued2023
dc.date.submitted2024-2-21
dc.descriptionVol. 20 No. 5en_US
dc.description.abstractThe 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 existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.en_US
dc.identifier.citationIsmail , S., Atan , K. A. M., Viscarra , D. S., & Yow, K. S. (2023). Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y. Baghdad Science Journal, 20(5), 1751. https://doi.org/10.21123/bsj.2023.7344en_US
dc.identifier.doi10.21123/bsj.2023.7344
dc.identifier.epage1762
dc.identifier.issn2078-8665
dc.identifier.issue5
dc.identifier.spage1751
dc.identifier.urihttps://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7344
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/7882
dc.identifier.volume20
dc.language.isoen_USen_US
dc.publisherCollege of Science for Women/ University of Baghdaen_US
dc.relation.ispartofBaghdad Science Journalen_US
dc.subjectAlgebraicproperties, Diophantineequation, Gaussianinteger,quartic equation, nontrivial solutions, symmetrical solutions.en_US
dc.titleGaussian Integer Solutions Of The Diophantine Equation 𝒙𝟒 + 𝒚𝟒 = 𝒛𝟑 For 𝒙 ≠ 𝒚en_US
dc.typeArticleen_US
dspace.entity.typePublication

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