Schur congruences, Carlitz sequences of polynomials and automaticity

被引：5

作者：

Allouche, JP

Skordev, G

机构：

[1] Univ Paris Sud, Ctr Orsay, CNRS, Rech Informat Lab,UMR 8623, F-91405 Orsay, France

[2] Univ Bremen, CEVIS, D-28359 Bremen, Germany

来源：

DISCRETE MATHEMATICS | 2000年 / 214卷 / 1-3期

关键词：

Schur congruence; Legendre and classical polynomials; automatic sequences;

D O I：

10.1016/S0012-365X(99)00195-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first generalize the Schur congruence for Legendre polynomials to sequences of polynomials that we call 'd-Carlitz'. This notion is more general than a similar notion introduced by Carlitz. Then, we study automaticity properties of double sequences generated by these sequences of polynomials, thus generalizing previous results on the double sequences produced by one-dimensional linear cellular automata. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：21 / 49

页数：29