A short proof of the transcendence of Thue-Morse continued fractions

被引:8
|
作者
Adamczewski, Boris
Bugeaud, Yann
机构
[1] Univ Lyon 1, CNRS, Inst Camille Jordan, F-69622 Villeurbanne, France
[2] Univ Strasbourg, UFR Math, F-67084 Strasbourg, France
来源
AMERICAN MATHEMATICAL MONTHLY | 2007年 / 114卷 / 06期
关键词
D O I
10.1080/00029890.2007.11920443
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:536 / 540
页数:5
相关论文
共 50 条
  • [41] Multiplicative properties of the Thue-Morse sequence
    Christian Maudutt
    Periodica Mathematica Hungarica, 2002, 43 (1-2) : 137 - 153
  • [42] Intertwining of complementary Thue-Morse factors
    Shallit, Jeffrey
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2022, 84 : 419 - 430
  • [43] Expansions of generalized Thue-Morse numbers
    Li, Yao-Qiang
    ADVANCES IN APPLIED MATHEMATICS, 2023, 143
  • [44] On the irrationality measure of the Thue-Morse constant
    Badziahin, Dzmitry
    Zorin, Evgeniy
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2020, 168 (03) : 455 - 472
  • [45] Univoque numbers and an avatar of Thue-Morse
    Allouche, Jean-Paul
    Frougny, Christiane
    ACTA ARITHMETICA, 2009, 136 (04) : 319 - 329
  • [46] ENUMERATION OF FACTORS IN THE THUE-MORSE WORD
    BRLEK, S
    DISCRETE APPLIED MATHEMATICS, 1989, 24 (1-3) : 83 - 96
  • [47] When Thue-Morse meets Koch
    Ma, J
    Holdener, J
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2005, 13 (03) : 191 - 206
  • [48] TRANSMISSION THROUGH A THUE-MORSE CHAIN
    AVISHAI, Y
    BEREND, D
    PHYSICAL REVIEW B, 1992, 45 (06): : 2717 - 2724
  • [49] On the delta sequence of the Thue-Morse sequence
    Cusick, T. W.
    Fredricksen, H.
    Stanica, P.
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2007, 39 : 293 - 300
  • [50] RAMAN STUDIES ON THUE-MORSE LATTICES
    ISHIDA, M
    KAMIGAKI, K
    MORIOKA, T
    KATO, H
    SANO, N
    TERAUCHI, H
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1992, 61 (01) : 149 - 153