Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the equidistribution of pseudo-random numbers

Author: J. N. Franklin
Journal: Quart. Appl. Math. 16 (1958), 183-188
MSC: Primary 10.00; Secondary 65.00
DOI: https://doi.org/10.1090/qam/93501
MathSciNet review: 93501
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  • Jack Moshman, The generation of pseudo-random numbers on a decimal calculator, J. Assoc. Comput. Mach. 1 (1954), 88–91. MR 61882, DOI https://doi.org/10.1145/320772.320775
  • J. Todd, Some experiments on the Monte Carlo method, presented before the Institute of Mathematical Statistics, Boston, 1951
  • M. L. Juncosa, Random number generation on the BRL high-speed computing machines, Ballistic Research Laboratories, Aberdeen Proving Ground, Md., 1953. Rep. No. 855,. MR 0059617
  • E. Leshan, A general purpose Monte Carlo program, American-Standard Atomic Energy Division Report, 1956
  • Hermann Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), no. 3, 313–352 (German). MR 1511862, DOI https://doi.org/10.1007/BF01475864
  • Frédéric Riesz, Sur la théorie ergodique, Comment. Math. Helv. 17 (1945), 221–239 (French). MR 14218, DOI https://doi.org/10.1007/BF02566244
  • G. Birkhoff, Proof of the ergodic theorem, Proc. Natl. Acad. Sci. 18, 650 (1932)
  • E. C. Titchmarsh, The theory of functions, Oxford University Press, Oxford, 1958. Reprint of the second (1939) edition. MR 3155290

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Article copyright: © Copyright 1958 American Mathematical Society