Browsing by Author "Kamel Ariffin Mohd Atan"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
- Some of the metrics are blocked by yourconsent settings
Publication Gaussian Integer Solutions Of The Diophantine Equation 𝒙^𝟒+𝒚^𝟒=𝒛^𝟑 For X Not Equal To Y(College of Science for Women/ University of Baghda, 2022) ;Shahrina Ismail ;Kamel Ariffin Mohd Atan ;Diego Sejas-ViscarraKai Siong YowThe investigation of determining solutions for the Diophantine equation 𝑥𝑥4 + 𝑦𝑦4 = 𝑧𝑧3 over the Gaussian integer ring for the specific case of 𝑥𝑥 ≠ 𝑦𝑦 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. - Some of the metrics are blocked by yourconsent settings
Publication Gaussian Integer Solutions Of The Diophantine Equation 𝒙𝟒 + 𝒚𝟒 = 𝒛𝟑 For 𝒙 ≠ 𝒚(College of Science for Women/ University of Baghda, 2023) ;Shahrina Ismail ;Kamel Ariffin Mohd Atan ;Diego Sejas-ViscarraKai Siong YowThe 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.