Classifying families of orthogonal polynomials having Galois group the alternating group

Banerjee, Pradipto and Bera, Ranjan (2022) Classifying families of orthogonal polynomials having Galois group the alternating group. Journal of Number Theory. ISSN 0022-314X

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Abstract

We give a classification of the generalized Laguerre polynomials Ln(α)(x), where α≠n is an integer, having the alternating group An as the Galois group over the rationals for up to a finitely many exceptions. © 2022 Elsevier Inc.

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IITH Creators:	IITH Creators ORCiD Banerjee, Pradipto UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Alternating group; Galois groups; Generalized Laguerre polynomials; Irreducibility
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	. LibTrainee 2021
Date Deposited:	26 Jul 2022 07:09
Last Modified:	26 Jul 2022 07:09
URI:	http://raiithold.iith.ac.in/id/eprint/9932
Publisher URL:	http://doi.org/10.1016/j.jnt.2021.12.009
OA policy:	https://v2.sherpa.ac.uk/id/publication/11382
Related URLs:	Author Google Scholar

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