On a diophantine problem with one prime, two squares of primes and s powers of two
Alessandro Languasco, Valentina Settimi (2012)
Acta Arithmetica
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Alessandro Languasco, Valentina Settimi (2012)
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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