A Note on Quartic Diophantine equation X⁴-Y⁴=R²-S²

2023/03/20 by S. Muthuvel, Muthuvel, S., R. Venkatraman +1
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2303.13366

openalex publication_date 2023/03/20 · openalex created_date 2023/03/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we deal with the quartic Diophantine equation X⁴-Y⁴=R²-S² to present its infinitely many integer solutions.

Related

• A quartic diophantine equation inspired by Brahmagupta's identity
• About the Diophantine Equation x⁴-q⁴=py^r
• A Note on the Quartic Diophantine Equation A⁴+hB⁴=C⁴+hD⁴
• Diophantine Equation X⁴+Y⁴=2(U⁴+V⁴)
• Diophantine Equation n(x⁴+y⁴)=z⁴+w⁴