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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The reciprocals of integral powers of primes and normal numbers


Author: R. G. Stoneham
Journal: Proc. Amer. Math. Soc. 15 (1964), 200-208
MSC: Primary 10.33
MathSciNet review: 0160748
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  • [1] R. G. Stoneham and S. Dunin, IBM 650, Western Data Processing Center, Univ. of California, Los Angeles, Calif., project #0030, 1957 (unpublished). R. P. Kelisky, IBM 7090, Thomas J. Watson Research Center, Yorktown Heights, New York, 1962.
  • [2] A. S. Besicovitch, The asymptotic distribution of the numerals in the decimal representation of the squares of the natural numbers, Math. Z. 39 (1934), 146-156.
  • [3] H. A. Hanson, Some relations between various types of normality of numbers, Canad. J. Math. 6 (1954), 477-485. MR 0064085 (16:223c)
  • [4] A. Brauer, Elementary estimates for the least primitive root, Studies in mathematics and mechanics, presented to R. von Mises, pp. 20-29, Academic Press, New York, 1954. MR 0066412 (16:570d)
  • [5] W. J. Le Veque, Topics in number theory, Vols. I and II, Addison-Wesley, Reading, Mass., 1956. MR 0080682 (18:283d)
  • [6] I. Niven, Irrational numbers, Carus Math. Monographs, No. 11, Wiley, New York, 1956. MR 0080123 (18:195c)
  • [7] R. D. Carmichael, The theory of numbers and diophantine analysis, Dover, New York, 1959. MR 0105381 (21:4123)
  • [8] W. Schmidt, On normal numbers, Pacific J. Math. 10 (1960), 661-672. MR 0117212 (22:7994)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1964-0160748-1
PII: S 0002-9939(1964)0160748-1
Article copyright: © Copyright 1964 American Mathematical Society