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Bulletin of the American Mathematical Society

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Statistical independence of linear congruential pseudo-random numbers


Author: Harald Niederreiter
Journal: Bull. Amer. Math. Soc. 82 (1976), 927-929
MSC (1970): Primary 65C10, 68A55; Secondary 10G05, 10K05
DOI: https://doi.org/10.1090/S0002-9904-1976-14222-X
MathSciNet review: 0419395
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References [Enhancements On Off] (What's this?)

  • 1. U. Dieter, Pseudo-random numbers: The exact distribution of pairs, Math. Comp. 25 (1971), 855-883. MR 45 # 7776. MR 298727
  • 2. L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Interscience, New York, 1974. MR 419394
  • 3. H. Niederreiter, Some new exponential sums with applications to pseudo-random numbers, Colloq. on Number Theory (Debrecen, 1974), North-Holland, Amsterdam (to appear). MR 447141
  • 4. H. Niederreiter, Pseudo-random numbers and optimal coefficients, Advances in Math, (to appear). MR 476679
  • 5. H. Niederreiter, The seriai test for pseudo-random numbers generated by the linear con-gruential method (in preparation).

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DOI: https://doi.org/10.1090/S0002-9904-1976-14222-X

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