The serial test for linear congruential pseudo-random numbers

Niederreiter, Harald

doi:10.1090/S0002-9904-1978-14472-3

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The serial test for linear congruential pseudo-random numbers
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Bull. Amer. Math. Soc. 84 (1978), 273-274

References

L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. MR 0419394
Harald Niederreiter, On the distribution of pseudo-random numbers generated by the linear congruential method. II, Math. Comp. 28 (1974), 1117–1132. MR 457391, DOI 10.1090/S0025-5718-1974-0457391-8
Harald Niederreiter, Statistical independence of linear congruential pseudo-random numbers, Bull. Amer. Math. Soc. 82 (1976), no. 6, 927–929. MR 419395, DOI 10.1090/S0002-9904-1976-14222-X
Harald Niederreiter, Pseudo-random numbers and optimal coefficients, Advances in Math. 26 (1977), no. 2, 99–181. MR 476679, DOI 10.1016/0001-8708(77)90028-7