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

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dc.contributor.authorShahrina Ismail
dc.contributor.authorKamel Ariffin Mohd Atan
dc.contributor.authorDiego Sejas Viscarra
dc.contributor.authorKai Siong Yow
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T18:55:53Z
dc.date.available2026-03-22T18:55:53Z
dc.date.issued2023
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.
dc.identifier.doi10.21123/bsj.2023.7344
dc.identifier.urihttps://doi.org/10.21123/bsj.2023.7344
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/73046
dc.language.isoen
dc.publisherCollege of Science for Women, University of Baghdad
dc.relation.ispartofBaghdad Science Journal
dc.sourceUniversiti Sains Islam Malaysia
dc.subjectDiophantine equation
dc.subjectInteger (computer science)
dc.subjectMathematics
dc.subjectGaussian integer
dc.subjectSimple (philosophy)
dc.subjectResolvent
dc.subjectGaussian
dc.subjectRing (chemistry)
dc.subjectDiophantine set
dc.subjectAlgebraic number
dc.titleGaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y
dc.typearticle

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