On the beta-expansions of 1 and algebraic numbers for a Salem number beta

被引：5
|
作者：
Kaneko, Hajime [1 ]
机构：
[1] Nihon Univ, Dept Math, Coll Sci & Technol, Chiyoda Ku, Tokyo 1018308, Japan
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2015年 / 35卷
关键词：
REAL NUMBERS; DYNAMICS; DIGITS; UNITY;
D O I：
10.1017/etds.2013.99
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the digits of beta- expansions in the case where beta is a Salem number. We introduce new upper bounds for the numbers of occurrences of consecutive 0s in the expansion of 1. We also give lower bounds for the numbers of non-zero digits in the beta-expansions of algebraic numbers. As applications, we give criteria for transcendence of the values of power series at certain algebraic points.
引用
收藏
页码：1243 / 1262
页数：20
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