Uniform Distribution Modulo One

  • Gunther Leobacher
  • Friedrich Pillichshammer
Part of the Compact Textbooks in Mathematics book series (CTM)


The theory of Uniform Distribution Modulo One is a branch of Number Theory which goes back to the seminal work of H. Weyl from 1916. For us the main motivation to study this topic lies in its application for numerical integration based on QMC rules.


Infinite Sequence Regular Lattice Star Discrepancy Pairwise Coprime Halton Sequence 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Gunther Leobacher
    • 1
  • Friedrich Pillichshammer
    • 2
  1. 1.Institute of Financial MathematicsUniversity of LinzLinzAustria
  2. 2.University of LinzLinzAustria

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