Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³

• Autorzy: Susil Kumar Jena
• Języki publikacji: EN

Abstrakty

EN

The Diophantine equation A² + nB⁴ = C³ has infinitely many integral solutions A, B, C for any fixed integer n. The case n = 0 is trivial. By using a new polynomial identity we generate these solutions, and then give conditions when the solutions are pairwise co-prime.

Kategorie tematyczne

• 11D41: Higher degree equations; Fermat's equation
• 11D72: Equations in many variables

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: 62
• Numer: 3
• Strony: 211-214

Daty

wydano

2014

Twórcy

autor

Susil Kumar Jena

• Department of Electronics & Telecommunication Engineering, KIIT University, Bhubaneswar 751024, Odisha, India

Identyfikatory

DOI

10.4064/ba62-3-2