The linear relation \(a=b+c+\dots+t\) between the roots of a polynomial

DOI10.5802/jtnb.597zbMath1200.11083OpenAlexW2315273450MaRDI QIDQ933204

Franck Lalande

Publication date: 21 July 2008

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2007__19_2_473_0

zbMATH Keywords

Galois groupirreducible polynomial with rational coefficients

Mathematics Subject Classification ID

Galois theory (11R32) Polynomials in number theory (11C08)

Related Items (2)

Linear relations with conjugates of a Salem number ⋮ About the Galois relation \(x_1=x_2+x_3\). Appendix by Joseph Oesterlé

Cites Work

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• Linear dependence of zeros of polynomials and construction of primitive elements
• Primitive rank 3 groups with a prime subdegree
• Finite permutation groups of rank 3
• The Galois relation x₁=x₂+x₃and Fermat over finite fields
• Linear relations between roots of polynomials
• Polynomials with nontrivial relations between their roots
• Relations between polynomial roots
• On linear relations between roots of unity

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