Article
Constructions of Uniformly Distributed Sequences Using the B-Adic Method
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Abstract
For bases b = (b1, . . . , bs) of not necessarily distinct integers bi ≥ 2, we employ b-adic arithmetic to study questions in the theory of uni- form distribution. A b-adic function system is constructed and the related Weyl criterion is proved. Relations between the uniform distribution of a sequence in the b-adic integers, on the s-dimensional torus, and in the rational integers are established and several constructions of uniformly distributed sequences based on b-adic arithmetic are presented.
Keywords
uniform distribution of sequences, Weyl criterion, b-adic integers, b-adic function.
Citation
Hellekalek, P. & Niederreiter, H. (2011). Constructions of uniformly distributed sequences using the b-adic method. Uniform Distribution Theory, 6(1), 185–200.
P. Hellekalek and H. Niederreiter, “Constructions of uniformly distributed sequences using the b-adic method,” Uniform Distribution Theory, vol. 6, no. 1, pp. 185–200, 2011.
Hellekalek P, Niederreiter H. Constructions of uniformly distributed sequences using the b-adic method. Uniform Distribution Theory. 2011;6(1):185–200.
Hellekalek, P. and Niederreiter, H. (2011), ‘Constructions of uniformly distributed sequences using the b-adic method’, Uniform Distribution Theory, 6(1), pp. 185–200.
Hellekalek, Peter, and Harald Niederreiter. “Constructions of Uniformly Distributed Sequences Using the B-adic Method.” Uniform Distribution Theory, vol. 6, no. 1, 2011, pp. 185–200.
Hellekalek, Peter, and Harald Niederreiter. “Constructions of Uniformly Distributed Sequences Using the B-adic Method.” Uniform Distribution Theory 6, no. 1 (2011): 185–200.
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Published by: Engineering Journals
