Journal of Mathematical Sciences, The University of Tokyo
巻, 号, ページ
Vol. 7
No. 2
pp. 163--193
出版年月
2000年
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We give a \hbox{van der Corput}-type expression of the multi-dimensional \hbox{Kronecker} sequence and a geometrical characterization of its distribution property. We can consider the latter to be a multi-dimensional analogue of the "three-distance theorem." All these results were obtained by using the accelerated Brun algorithm.