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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