A variety of Euler's sum of powers conjecture

DOI10.21136/CMJ.2021.0210-20OpenAlexW3163487255WikidataQ113727608 ScholiaQ113727608MaRDI QIDQ5016078

Tian Xin Cai, Yong Zhang

Publication date: 10 December 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2021.0210-20

zbMATH Keywords

elliptic curvepositive integer solutionEuler's sum of powers conjecturepositive rational solution

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Diophantine equations in many variables (11D72) Higher degree equations; Fermat's equation (11D41)

Cites Work

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• A new generalization of Fermat's last theorem
• On A 4 + B 4 + C 4 = D 4
• A new variant of the Hilbert-Waring problem
• On some Diophantine systems involving symmetric polynomials
• Counterexample to Euler’s conjecture on sums of like powers
• Number Theory
• Unsolved problems in number theory

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