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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A lower bound on the star discrepancy of generalized Halton sequences in rational bases
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by Roswitha Hofer PDF
Proc. Amer. Math. Soc. 147 (2019), 4655-4664 Request permission

Abstract:

In this paper we extend a result of Levin, who proved a lower bound on the star discrepancy of generalized Halton sequences in positive integer bases, to rational bases.
References
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Additional Information
  • Roswitha Hofer
  • Affiliation: Institute of Financial Mathematics and Applied Number Theory, Johannes Kepler University Linz, Altenbergerstr. 69, 4040 Linz, Austria
  • MR Author ID: 824746
  • Email: roswitha.hofer@jku.at
  • Received by editor(s): October 30, 2018
  • Received by editor(s) in revised form: February 19, 2019
  • Published electronically: May 17, 2019
  • Additional Notes: The author was supported by the Austrian Science Fund (FWF): Project F5505-N26, which is a part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications”
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4655-4664
  • MSC (2010): Primary 11K31, 11K38
  • DOI: https://doi.org/10.1090/proc/14596
  • MathSciNet review: 4011502