The resolution of the diophantine equation x(x+d)...(x+(k-1)d) = by² for fixed d
P. Filakovszky, L. Hajdu (2001)
Acta Arithmetica
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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.
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