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The generalized serial test applied to expansions of some irrational square roots in various bases


Authors: W. A. Beyer, N. Metropolis and J. R. Neergaard
Journal: Math. Comp. 24 (1970), 745-747
MSC: Primary 65.15
DOI: https://doi.org/10.1090/S0025-5718-1970-0273773-8
MathSciNet review: 0273773
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Abstract: A brief summary is given of the application of the generalized serial test for randomness to the digits of irrational $ \surd n$ in bases $ t$ where $ 2 \leqq n,t \leqq 15$. The results are consistent, except for a few aberrations, with the hypothesis of randomness of the digits.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0273773-8
Keywords: Serial test, generalized serial test, statistics of square-root digits, square roots, square roots in several bases, expansions of square roots, random sequences, statistical study of digit sequences
Article copyright: © Copyright 1970 American Mathematical Society