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.
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页码：21 / 49
页数：29
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