Uniformly distributed sequences and rings of complex numbers (Q2726108)
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scientific article; zbMATH DE number 1620004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly distributed sequences and rings of complex numbers |
scientific article; zbMATH DE number 1620004 |
Statements
24 November 2002
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distribution mod 1
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\(q\)-additive functions
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Uniformly distributed sequences and rings of complex numbers (English)
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The authors study the distribution properties of special sequences related to the factorization of elements in rings of complex numbers. The work is inspired by \textit{E. Hlawka} [Acta Arith. 53, 389-402 (1990; Zbl 0661.10063)], where sequences are investigated in connection with Gaussian integers. The authors establish qualitative refinements and extensions to rings with divisibility theory in the sense of \textit{Z. I. Borevich} and \textit{I. R. Shafarevich} [Number theory (1985; Zbl 0592.12001)]. Applications to Diophantine approximation on the unit circle and the construction of uniformly distributed points on the sphere are presented.
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