Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums

2018/12/17 by Iokibe, Gaku
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1812.07061

Abstract

In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation X₁⁵+X₂⁵+X₃⁵=Y₁³+Y₂³+Y₃³. We show that the Diophantine equation has infinitely many positive solutions.

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