On the distribution properties of Niederreiter-Halton sequences

DOI10.1016/j.jnt.2008.05.012zbMath1219.11111OpenAlexW2079830916MaRDI QIDQ999723

Roswitha Hofer

Publication date: 10 February 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.05.012

zbMATH Keywords

sum-of-digits function\((\mathbf{T},s)\)-sequenceNiederreiter-Halton sequenceUniform distribution modulo one

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Related Items (7)

ON HYBRID SEQUENCES BUILT FROM NIEDERREITER–HALTON SEQUENCES AND KRONECKER SEQUENCES ⋮ On irregularities of distribution of weighted sums-of-digits ⋮ A construction of digital \((0,s)\)-sequences involving finite-row generator matrices ⋮ Kronecker-Halton sequences in \(\mathbb{F}_p((X^{-1}))\) ⋮ Metrical results on the discrepancy of Halton-Kronecker sequences ⋮ On Hybrid Point Sets Stemming from Halton-Type Hammersley Point Sets and Polynomial Lattice Point Sets ⋮ Coquet-type formulas for the rarefied weighted Thue-Morse sequence

Cites Work

• Point sets and sequences with small discrepancy
• Sequences, discrepancies and applications
• Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions
• A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets
• On the joint distribution of \(q\)-additive functions in residue classes
• The sum-of-digits-function and uniform distribution modulo 1
• DISTRIBUTION PROPERTIES OF GENERALIZED VAN DER CORPUT–HALTON SEQUENCES AND THEIR SUBSEQUENCES
• Generalized (t, s)-Sequences, Kronecker-Type Sequences, and Diophantine Approximations of Formal Laurent Series
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