Schur congruences, Carlitz sequences of polynomials and automaticity

DOI10.1016/S0012-365X(99)00195-8zbMath0976.33005OpenAlexW2009273372MaRDI QIDQ1972128

Jean-Paul Allouche, Gencho Skordev

Publication date: 6 January 2002

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)00195-8

zbMATH Keywords

automatic sequencesLegendre polynomialsSchur congruence

Mathematics Subject Classification ID

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

Related Items (7)

Scaling properties of generalized Carlitz sequences of polynomials ⋮ A remark on Apéry's numbers ⋮ ON A CONJECTURE OF MCINTOSH REGARDING LP-SEQUENCES ⋮ On the Galois groups of Legendre polynomials ⋮ The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS ⋮ Transcendence of binomial and Lucas' formal power series ⋮ On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials

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