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Distinct digits in basebexpansions of linear recurrence sequences

 

作者: Florian Luca,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 2000)
卷期: Volume 23, issue 4  

页码: 389-404

 

ISSN:1607-3606

 

年代: 2000

 

DOI:10.2989/16073600009485986

 

出版商: Taylor & Francis Group

 

关键词: BAKER'S METHOD;LINEAR RECURRENCE SEQUENCES

 

数据来源: Taylor

 

摘要:

Let (un)nbe a linear recurrence sequence of integers and letb> 1 be a natural number. In this paper, we show that under some mild technical assumptions the basebexpansion of |un| has at leastclogn/log lognnon-zero digits whennis large, wherec> 0 is a computable constant depending on the initial sequence (un)nandb. Our results complement the results of C.L. Stewart from [9]. Some diophantine applications are also presented.

 

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