Unique Solution of Quartic Diophantine Equation x^4-(n^2+4) y^4=1

Authors

  • Hung Lik Goh Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Wan Heng Fong Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Sherzod Turaev Department of Computer Science and Software Engineering, College of Information Technology, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates

Keywords:

Diophantine equation, quartic equation, square-free integer, positive integer solution, number theory

Abstract

Diophantine equations play an important role in number theory due to their connections with integer solutions and classical structures.

Author Biographies

Hung Lik Goh, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

gohlik@graduate.utm.my

Wan Heng Fong, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

fwh@utm.my

Sherzod Turaev, Department of Computer Science and Software Engineering, College of Information Technology, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates

sherzod@uaeu.ac.ae

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Published

2026-05-11

Issue

Vol. 9 No. 1: March (2026)

Section

Articles