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

Beyer, W. A.; Metropolis, N.; Neergaard, J. R.

doi:10.1090/S0025-5718-1970-0273773-8

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 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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[2] I. J. Good & T. N. Gover, "Corrigendum," J. Roy. Statist. Soc. Ser. A, v. 131, 1968, p. 434.
[3] W. A. Beyer, N. Metropolis & J. R. Neergaard, "Square roots of integers 2 to 15 in various bases 2 to 10: 88062 binary digits or equivalent," Math. Comp., v. 23, 1969, p. 679. RMT 45.
[4] W. A. Beyer, N. Metropolis, and J. R. Neergaard, Statistical study of digits of some square roots of integers in various bases, Math. Comp. 24 (1970), 455–473. MR 272129, https://doi.org/10.1090/S0025-5718-1970-0272129-1
[5] C. J. Everett & N. Metropolis, "Approximation of the th root of N," Discrete Mathematics. (To appear.)