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2017/91/3-4 (9) — DOI: 10.5486/PMD.2017.7714 — pp. 383-390

On the Diophantine equations $(x-1)^3+x^5+(x+1)^3=y^n$ and $(x-1)^5+x^3+(x+1)^5=y^n$

Authors: Zhongfeng Zhang

Abstract:

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Keywords: Diophantine equations, modular form, Thue equations

Mathematics Subject Classification: 11D41, 11D61