Hankel matrices for the period-doubling sequence

被引：6
|
作者：
Fokkink, Robbert J. [1 ]
Kraaikamp, Cor [1 ]
Shallit, Jeffrey [2 ]
机构：
[1] Delft Univ Technol, Appl Math, Mekelweg 4, NL-2628 CD Delft, Netherlands
[2] Univ Waterloo, Sch Comp Sci, Waterloo, ON N2L 3G1, Canada
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2017年 / 28卷 / 01期
关键词：
THUE-MORSE; IRRATIONALITY EXPONENT; DETERMINANTS; APPROXIMATIONS;
D O I：
10.1016/j.indag.2016.11.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an explicit evaluation, in terms of products of Jacobsthal numbers, of the Hankel determinants of order a power of two for the period-doubling sequence. We also explicitly give the eigenvalues and eigenvectors of the corresponding Hankel matrices. Similar considerations give the Hankel determinants for other orders. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：108 / 119
页数：12
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