Gaussian integer solutions of the diophantine equation x4 + y4 = z3 for for x ≠ y

• Main Authors: Ismail, Shahrina, Atan, Kamel Ariffin Mohd, Sejas-Viscarra, Diego, Yow, Kai Siong
• Other Authors: School of Computer Science and Engineering
• Format: Article
• Language: English
• Published: 2024
• Subjects: Computer and Information Science; Algebraic properties; Symmetrical solutions
• Online Access: https://hdl.handle.net/10356/173834
• Institution: Nanyang Technological University

The investigation of determining solutions for the Diophantine equation x4 + y4 = z3 over the Gaussian integer ring for the specific case of x ≠ y is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findi...