On classifying Laguerre polynomials which have Galois group the alternating group

DOI10.5802/jtnb.822zbMath1287.11128OpenAlexW2321869524MaRDI QIDQ1953833

Pradipto Banerjee, Carrie Finch, Michael Filaseta, J. Russell Leidy

Publication date: 11 June 2013

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

Full work available at URL: https://semanticscholar.org/paper/38451de5757589e8822d11d8d018f01da467a120

zbMATH Keywords

discriminantsgeneralized Laguerre polynomials

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)

Related Items (8)

An infinite, two-parameter family of polynomials with factorization similar to X^m − 1 ⋮ Classifying families of orthogonal polynomials having Galois group the alternating group ⋮ Families of Laguerre polynomials with alternating group as Galois group ⋮ Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials ⋮ On Galois groups of generalized Laguerre polynomials whose discriminants are squares ⋮ A new type of unique range set with deficient values ⋮ On Galois groups of a one-parameter orthogonal family of polynomials ⋮ On a generalization of a conjecture of Grosswald

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