On the height of some generators of Galois extensions with big Galois group

DOI10.1016/j.jnt.2024.10.004MaRDI QIDQ6659401

Jonathan Jenvrin

Publication date: 9 January 2025

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

zbMATH Keywords

Galois extensionsalternating groupLehmer's problemheight bounds

Mathematics Subject Classification ID

Number theory (11-XX)

Cites Work

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• On Galois groups of generalized Laguerre polynomials whose discriminants are squares
• Some generalized Laguerre polynomials whose Galois groups are the alternating groups
• Laguerre polynomials with Galois group \(A_m\) for each \(m\)
• On a generalization of a conjecture of Grosswald
• On the Galois group of generalized Laguerre polynomials
• Additive and multiplicative relations connecting conjugate algebraic numbers
• On the order of doubly transitive permutation groups
• Gleichungen ohne Affekt.
• On classifying Laguerre polynomials which have Galois group the alternating group
• A lower bound for the height in abelian extensions
• Families of Laguerre polynomials with alternating group as Galois group
• Irreducible polynomials of bounded height
• A note on heights in certain infinite extensions of \(\mathbb Q\)
• Lower bounds for the height in Galois extensions
• Mahler measure on Galois extensions
• On a question of Lehmer and the number of irreducible factors of a polynomial
• A uniform relative Dobrowolski's lower bound over abelian extensions
• Le problème de Lehmer en dimension supérieure
• On the irreducibility of the generalized Laguerre polynomials
• An effective lower bound for the height of algebraic numbers
• On the product of the conjugates outside the unit circle of an algebraic number

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