Minimal polynomials of some beta-numbers and Chebyshev polynomials

被引:3
作者
Kwon, Doyong [1 ]
机构
[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea
关键词
Beta-numbers; Chebyshev polynomials; Mahler measure; Pisot numbers;
D O I
10.4064/aa130-4-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:321 / 332
页数:12
相关论文
共 17 条
[1]  
Berthe V., 2005, INTEGERS, V5, P46
[2]   On beta expansions for Pisot numbers [J].
Boyd, DW .
MATHEMATICS OF COMPUTATION, 1996, 65 (214) :841-860
[3]   GROWTH FUNCTIONS OF SURFACE GROUPS [J].
CANNON, JW ;
WAGREICH, P .
MATHEMATISCHE ANNALEN, 1992, 293 (02) :239-257
[4]   Sturmian words, β-shifts, and transcendence [J].
Chi, DP ;
Kwon, D .
THEORETICAL COMPUTER SCIENCE, 2004, 321 (2-3) :395-404
[5]   THE ZETA-FUNCTION OF THE BETA-TRANSFORMATION [J].
FLATTO, L ;
LAGARIAS, JC ;
POONEN, B .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1994, 14 :237-266
[6]   Beta-numbers whose conjugates lie near the unit circle [J].
Kwon, DoYong .
ACTA ARITHMETICA, 2007, 127 (01) :33-47
[7]  
KWON DY, 2004, DEVILS STAIRCASE ROT
[8]  
KWON DY, TABLE REDUCIBLE BETA
[9]  
Lakatos P, 2002, PUBL MATH-DEBRECEN, V61, P645
[10]   Factorization of certain cyclotomic functions [J].
Lehmer, DH .
ANNALS OF MATHEMATICS, 1933, 34 :461-479