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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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A lower bound for rank 2 lattice rules
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by Friedrich Pillichshammer PDF
Math. Comp. 73 (2004), 853-860 Request permission

Abstract:

We give a lower bound for a quality measure of rank 2 lattice rules which shows that an existence result of Niederreiter is essentially best possible.
References
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Additional Information
  • Friedrich Pillichshammer
  • Affiliation: Institut für Analysis, Universität Linz, Altenbergerstraße 69, A-4040 Linz, Austria
  • MR Author ID: 661956
  • ORCID: 0000-0001-6952-9218
  • Email: friedrich.pillichshammer@jku.at
  • Received by editor(s): August 5, 2002
  • Received by editor(s) in revised form: November 8, 2002
  • Published electronically: July 29, 2003
  • Additional Notes: Supported by the Austrian Research Foundation (FWF), project S 8305.
  • © Copyright 2003 American Mathematical Society
  • Journal: Math. Comp. 73 (2004), 853-860
  • MSC (2000): Primary 11K06, 65D32, 41A55
  • DOI: https://doi.org/10.1090/S0025-5718-03-01596-5
  • MathSciNet review: 2031410