On some Diophantine systems involving symmetric polynomials

DOI10.1090/S0025-5718-2013-02778-0zbMath1290.11064arXiv1305.6237MaRDI QIDQ5418494

Maciej Ulas

Publication date: 4 June 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6237

zbMATH Keywords

elliptic curvessymmetric polynomials

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

An investigation on partitions with equal products ⋮ A variety of Euler's sum of powers conjecture

Uses Software

• Mathematica

Cites Work

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• \(n\)-tuples of positive integers with the same second elementary symmetric function value and the same product
• A note on Diophantine systems involving three symmetric polynomials
• n-tuples of positive integers with the same sum and the same product
• Unsolved problems in number theory

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