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Digital Sequences with Best Possible Order of L 2 ‐Discrepancy

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Publication:3433997
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DOI10.1112/S0025579300000073zbMath1121.11049MaRDI QIDQ3433997

Friedrich Pillichshammer

Publication date: 23 April 2007

Published in: Mathematika (Search for Journal in Brave)


zbMATH Keywords

Discrepancydigital (t,s)-sequences


Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Well-distributed sequences and other variations (11K36) General theory of distribution modulo (1) (11K06)


Related Items (2)

Dyadic diaphony of digital sequences ⋮ Halton-type sequences in rational bases in the ring of rational integers and in the ring of polynomials over a finite field




Cites Work

  • Unnamed Item
  • Point sets and sequences with small discrepancy
  • Sequences, discrepancies and applications
  • On the diaphony of the van der Corput-Halton sequence
  • On the discrepancy of \((0,1)\)-sequences.
  • On the diaphony of one class of one-dimensional sequences
  • Precise distribution properties of the van der Corput sequence and related sequences
  • On a sequence of points of interest for numerical quadrature
  • Walsh series analysis of the \(L_2\)-discrepancy of symmetrized point sets




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