Generalized Thue-Morse sequences of squares

被引：14
|
作者：
Drmota, Michael [1 ]
Morgenbesser, Johannes F. [1 ]
机构：
[1] Vienna Univ Technol, Inst Discrete Math & Geometry, A-1040 Vienna, Austria
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 190卷 / 01期
关键词：
Normal Subgroup; Irreducible Representation; Compact Group; Unitary Representation; Automatic Sequence;
D O I：
10.1007/s11856-011-0186-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider compact group generalizations T(n) of the Thue-Morse sequence and prove that the subsequence T(n (2)) is uniformly distributed with respect to a measure gv that is absolutely continuous with respect to the Haar measure. The proof is based on a proper generalization of the Fourier based method of Mauduit and Rivat in their study of the sum-of-digits function of squares to group representations.
引用
收藏
页码：157 / 193
页数：37
相关论文
共 50 条
12345