Specializations of one-parameter families of polynomials

DOI10.5802/aif.2208zbMath1160.12004arXivmath/0405139OpenAlexW1619490656MaRDI QIDQ877537

Farshid Hajir, Siman Wong

Publication date: 24 April 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405139

zbMATH Keywords

rational pointbranched covercomplex multiplicationmodular equationorthogonal polynomialspecializationRiemann-Hurwitz formulaHilbert irreducibilitysimple cover

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Arithmetic ground fields for curves (14H25) Polynomials in number theory (11C08) Complex multiplication and moduli of abelian varieties (11G15) Polynomials (irreducibility, etc.) (11R09) (p)-adic differential equations (12H25)

Related Items

On the Galois group of generalized Laguerre polynomials, On Galois groups of generalized Laguerre polynomials whose discriminants are squares, Specialization of Galois groups and integral points on elliptic curves, Minimization of differential equations and algebraic values of 𝐸-functions, On classifying Laguerre polynomials which have Galois group the alternating group, On the Jacobians of Curves Defined by the Generalized Laguerre Polynomials, On the ranks of the Jacobians of curves defined by Jacobi polynomials, On Galois groups of a one-parameter orthogonal family of polynomials, Unnamed Item, Algebraic properties of a family of Jacobi polynomials, Schönemann–Eisenstein–Dumas-Type Irreducibility Conditions that Use Arbitrarily Many Prime Numbers

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