On multiplicative automatic sequences

被引：4
|
作者：
Konieczny, Jakub [1 ,2 ]
机构：
[1] Hebrew Univ Jerusalem, Einstein Inst Math, Edmond J Safra Campus, IL-9190401 Jerusalem, Israel
[2] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2020年 / 52卷 / 01期
关键词：
11B85 (primary); 11N64; 68R15 (secondary);
D O I：
10.1112/blms.12317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that any automatic multiplicative sequence either coincides with a Dirichlet character or is identically zero when restricted to integers not divisible by small primes. This answers a question of Bell, Bruin and Coons. A similar result was obtained independently by Klurman and Kurlberg.
引用
收藏
页码：175 / 184
页数：10
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