Discrepancy of Certain Kronecker Sequences Concerning Transcendental Numbers

被引:0
作者
Yao Chen ZHU Institute of Applied MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing PRChina [100080 ]
机构
关键词
discrepancy; Kronecker-sequence; transcendental number;
D O I
暂无
中图分类号
O156.6 [超越数论];
学科分类号
0701 ; 070101 ;
摘要
<正> Let ω1,…,ωs be a set of real transcendental numbers satisfying a certain Diophantineinequality.The upper bound for the discrepancy of the Kronecker sequence({nω1},…,{nωs})(1≤n≤N)is given.In particular,some low-discrepancy sequences are constructed.
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页码:1897 / 1902
页数:6
相关论文
共 3 条
[1]   Simultaneous Approximation to Values of Exponential Function at Algebraic Points [J].
徐广善 .
Acta Mathematica Sinica, 1993, (04) :421-431
[2]  
Product type bounds on the approximation of values of E and G functions[J] . Charles F. Osgood.Monatshefte für Mathematik . 1986 (1)
[3]  
Applications of Number Theory to Numerical Analysis .2 Hua L K,Wang Y. Springer-Verlag and Science Press . 1981