A note on Diophantine systems involving three symmetric polynomials

DOI10.1016/j.jnt.2013.04.009zbMath1295.11028arXiv1305.6241OpenAlexW2093006084MaRDI QIDQ740870

Maciej Ulas

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6241

zbMATH Keywords

elliptic curvessymmetric polynomials

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Polynomials in number theory (11C08) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

On some Diophantine systems involving symmetric polynomials ⋮ A note on Diophantine systems involving three symmetric polynomials

Uses Software

• Mathematica

Cites Work

• \(n\)-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
• Finiteness theorems for abelian varieties over number fields.
• n-tuples of positive integers with the same sum and the same product
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