CHARACTERIZATION OF THE UNIQUE EXPANSIONS 1=SIGMA-I=1 INFINITY Q-NI AND RELATED PROBLEMS

被引:168
作者
ERDOS, P
JOO, I
KOMORNIK, V
机构
[1] HUNGARIAN ACAD SCI, INST MATH, H-1053 BUDAPEST, HUNGARY
[2] EOTVOS LORAND UNIV, DEPT ANAL, H-1088 BUDAPEST, HUNGARY
[3] UNIV BORDEAUX 1, UFR MATH, F-33405 TALENCE, FRANCE
来源
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1990年 / 118卷 / 03期
关键词
D O I
10.24033/bsmf.2151
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize the unique expansions in non-integer bases. We estimate the length of consecutive 0 digits in the greedy expansions. We obtain some relations between these properties and the Pisot numbers.
引用
收藏
页码:377 / 390
页数:14
相关论文
共 9 条
[1]  
BERTRAND A, 1981, THESIS U BORDEAUX 1
[2]  
BOGMER A, IN PRESS SOME PROBLE
[3]  
ERDOS P, IN PRESS UNIQUENESS
[4]  
ERDOS P, IN PRESS
[5]  
JOO I, IN PRESS ARITHMETICA
[6]  
JOO I, IN PRESS DISTRIBUTIO
[7]  
Parry W., 1960, ACTA MATH ACAD SCI H, V11, P401
[8]  
R?nyi A., 1957, ACTA MATH ACAD SCI H, V8, P477
[9]  
RAUZY G, 1989, IN PRESS OCT C THEOR