On a generalization of a conjecture of Grosswald

DOI10.1016/j.jnt.2020.02.013zbMath1469.11438OpenAlexW3012365819WikidataQ123195018 ScholiaQ123195018MaRDI QIDQ784717

Pradipto Banerjee, Ranjan Bera

Publication date: 3 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.02.013

zbMATH Keywords

Galois groupirreducibilityBessel polynomialsgeneralized Laguerre polynomials

Mathematics Subject Classification ID

Galois theory (11R32) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

Classifying families of orthogonal polynomials having Galois group the alternating group ⋮ Families of Laguerre polynomials with alternating group as Galois group ⋮ Corrigendum to: ``On a generalization of a conjecture of Grosswald

Cites Work

• Bessel polynomials
• On the Galois group of generalized Laguerre polynomials
• Diophantine approximations and value distribution theory
• The irreducibility of all but finitely many Bessel polynomials
• On classifying Laguerre polynomials which have Galois group the alternating group
• Approximate formulas for some functions of prime numbers
• The irreducibility of the Bessel polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• Primes in short intervals
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