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

DOI10.5486/PMD.2017.7714zbMath1413.11070OpenAlexW2769836641MaRDI QIDQ4584466

Zhongfeng Zhang

Publication date: 3 September 2018

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2017.7714

zbMATH Keywords

Thue equationsmodular formhigher degree Diophantine equations

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

A note on the Diophantine equation \((x + a_1)^{r_1} + (x + a_2)^{r_2} + \cdots + (x + a_m)^{r_m} = y^n\)

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