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We have shown in Proposition  2.6 that the infinite sequence \((\{n \boldsymbol{\alpha }\})_{n \in {\mathbb N}_0}\) is uniformly distributed modulo one under a certain condition on the vector \(\boldsymbol{\alpha }\in {\mathbb R}^s\) . In this chapter we consider “finite” versions of such sequences which are referred to as lattice point sets.

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Lattice Point Sets

  • 章节

  • 发表日期：

    2026年

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  • Gunther Leobacher,
  • Friedrich Pillichshammer

摘要

We have shown in Proposition  2.6 that the infinite sequence \((\{n \boldsymbol{\alpha }\})_{n \in {\mathbb N}_0}\) is uniformly distributed modulo one under a certain condition on the vector \(\boldsymbol{\alpha }\in {\mathbb R}^s\) . In this chapter we consider “finite” versions of such sequences which are referred to as lattice point sets.