Families of Laguerre polynomials with alternating group as Galois group

DOI10.1016/j.jnt.2022.04.001OpenAlexW4280547021WikidataQ114156518 ScholiaQ114156518MaRDI QIDQ2167505

Ankita Jindal, Shanta Laishram

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2022.04.001

zbMATH Keywords

Galois groupNewton polygonsLaguerre polynomialsirreducibilityBessel polynomialsErdős-Sylvester inequality

Mathematics Subject Classification ID

Galois theory (11R32) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials in number theory (11C08) Diophantine inequalities (11D75)

Cites Work

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• On the largest prime factor of $x^{2}-1$
• A Remark on Stirling's Formula
• On the factorization of consecutive integers
• Calculations for Bertrand's Postulate
• The irreducibility of the Bessel polynomials

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