Automaticity of the Hankel determinants of difference sequences of the Thue-Morse sequence

被引：5
|
作者：
Guo, Ying-Jun [1 ]
Wen, Zhi-Xiong [2 ]
机构：
[1] Huazhong Agr Univ, Coll Sci, Wuhan 430070, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Hubei, Peoples R China
来源：
THEORETICAL COMPUTER SCIENCE | 2014年 / 552卷
关键词：
Thue-Morse sequence; Difference; Hankel determinant; Automatic sequence; Irrationality exponent; APPROXIMATION; RING;
D O I：
10.1016/j.tcs.2014.08.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Extending the result of Allouche et al., we prove that for any k, the two-dimensional sequence (modulo 2) {vertical bar Delta(k)(t)(n)(p)vertical bar}(n,p >= 0) is 2-automatic. Moreover, we prove that the three-dimensional sequence (modulo 2) {vertical bar Delta(k)(t)(n)(p)vertical bar}(n,p,k >= 0) is 2-automatic. (C) 2014 Elsevier B.V. All rights reserved.
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页码：1 / 12
页数：12
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