Rational approximations to algebraic Laurent series with coefficients in a finite field

被引：5
作者：
Firicel, Alina [1 ]
机构：
[1] Univ Grenoble, Inst Joseph Fourier, F-38402 St Martin Dheres, France
来源：
ACTA ARITHMETICA | 2013年 / 157卷 / 04期
关键词：
POWER-SERIES; DIOPHANTINE APPROXIMATION; CONTINUED FRACTIONS; REAL NUMBERS; IRRATIONALITY MEASURES; THEOREM;
D O I：
10.4064/aa157-4-1
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：297 / 322
页数：26
相关论文
共 26 条
[1]   Diophantine properties of real numbers generated by finite automata [J].
Adamczewski, Boris ;
Cassaigne, Julien .
COMPOSITIO MATHEMATICA, 2006, 142 (06) :1351-1372
[2]  
Adamczewski B, 2011, J REINE ANGEW MATH, V658, P65
[3]   Irrationality measures for some automatic real numbers [J].
Adamczewski, Boris ;
Rivoal, Tanguy .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2009, 147 :659-678
[4]  
Allouche J.P., 2003, Automatic sequences: Theory, applications, generalizations
[5]  
[Anonymous], 1972, Mathematical systems theory, DOI 10.1007/BF01706087
[6]   CONTINUED FRACTIONS OF ALGEBRAIC POWER-SERIES IN CHARACTERISTIC-2 [J].
BAUM, LE ;
SWEET, MM .
ANNALS OF MATHEMATICS, 1976, 103 (03) :593-610
[7]  
Christol G., 1979, Theoretical Computer Science, V9, P141, DOI 10.1016/0304-3975(79)90011-2
[8]   THE APPROXIMATION TO ALGEBRAIC NUMBERS BY RATIONALS [J].
DYSON, FJ .
ACTA MATHEMATICA, 1947, 79 (04) :225-240
[9]  
Eilenberg S., 1974, Pure and Applied Mathematics, V59
[10]   An analogue for algebraic functions of the Thue-Siegel theorem [J].
Gill, BP .
ANNALS OF MATHEMATICS, 1930, 31 :207-218
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