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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An a priori determination of serial correlation in computer generated random numbers
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by Martin Greenberger PDF
Math. Comp. 15 (1961), 383-389 Request permission
References
  • A. Rotenberg, A new pseudo-random number generator, J. Assoc. Comput. Mach. 7 (1960), 75–77. MR 117868, DOI 10.1145/321008.321019
  • D. H. Lehmer, Mathematical methods in large-scale computing units, Proceedings of a Second Symposium on Large-Scale Digital Calculating Machinery, 1949, Harvard University Press, Cambridge, Mass., 1951, pp. 141–146. MR 0044899
  • G. H. Orcutt, M. Greenberger, J. Korbel & A. M. Rivlin, Microanalysis of Socioeconomic Systems, Appendix to Part IV, Harper & Bros., New York, 1961. M. Greenberger, “Random number generators,” Preprints of the 14th National Conference of the ACM, September 1959.
  • Olga Taussky and John Todd, Generation and testing of pseudo-random numbers, Symposium on Monte Carlo methods, University of Florida, 1954, John Wiley and Sons, Inc., New York; Chapman and Hall, Ltd., London, 1956, pp. 15–28. MR 0080382
  • 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
  • Eve Bofinger, On a periodic property of pseudo-random sequences, J. Assoc. Comput. Mach. 5 (1958), 261–265. MR 131949, DOI 10.1145/320932.320937
  • J. Certaine, On sequences of pseudo-random numbers of maximal length, J. Assoc. Comput. Mach. 5 (1958), 353–356. MR 127511, DOI 10.1145/320941.320949
  • R. R. Coveyou, Serial correlation in the generation of pseudo-random numbers, J. Assoc. Comput. Mach. 7 (1960), 72–74. MR 117869, DOI 10.1145/321008.321018
  • M. Greenberger, “Notes on a new pseudo-random number generator,” J. Assoc. Comput. Mach., v. 8, 1961, p. 163. A. S. Householder, Editor, Monte Carlo Method, Nat. Bur. Standards App. Math. Ser. No. 12, June 1951, p. 33-37.
  • Hans Rademacher and Albert Whiteman, Theorems on Dedekind sums, Amer. J. Math. 63 (1941), 377–407. MR 3650, DOI 10.2307/2371532
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Math. Comp. 15 (1961), 383-389
  • MSC: Primary 68.00
  • DOI: https://doi.org/10.1090/S0025-5718-1961-0144489-8
  • MathSciNet review: 0144489