Discrepancy of Certain Kronecker Sequences Concerning Transcendental Numbers

Authors
Zhu, Yao Chen
Citation
Zhu, Yao Chen, Discrepancy of Certain Kronecker Sequences Concerning Transcendental Numbers, Acta mathematica Sinica. English series (Print) , 23(10), 2007, pp. 1897-1902
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
10
Year of publication
2007
Pages
1897 - 1902
Database
ACNP
SICI code
Abstract
Let . 1, . . . , . s be a set of real transcendental numbers satisfying a certain Diophantine inequality. The upper bound for the discrepancy of the Kronecker sequence ({n. 1}, . . . , {n. s })(1 . n . N) is given. In particular, some low-discrepancy sequences are constructed