Irreducibility of generalized Hermite-Laguerre polynomials. III.

DOI10.1016/j.jnt.2016.01.003zbMath1354.33007arXiv1306.0736OpenAlexW1973503645MaRDI QIDQ266619

Shanta Laishram, Tarlok N. Shorey

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1306.0736

zbMATH Keywords

primesNewton polygonsirreducibilityarithmetic progressionsHermite-Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05) Polynomials in general fields (irreducibility, etc.) (12E05)

Related Items (3)

The irreducibility of some Wronskian Hermite polynomials ⋮ Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\) ⋮ On Galois groups of a one-parameter orthogonal family of polynomials

Cites Work

• Irreducibility of generalized Hermite-Laguerre polynomials
• Sur une classe d'équations exponentielles
• The greatest prime divisor of a product of terms in an arithmetic progression
• Irreducibility of generalized Hermite-Laguerre polynomials. II.
• The irreducibility of all but finitely many Bessel polynomials
• On a problem of Störmer
• Generalizations of some irreducibility results by Schur
• Smooth values of some quadratic polynomials
• Primary cyclotomic units and a proof of Catalans conjecture
• Number theory. Transl. from the 3rd German edition, edited and with a preface by Horst Günter Zimmer.

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