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 of California, Los Angeles, Calif., project #0030, 1957 (unpublished).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*, Canadian J. Math.**6**(1954), 477–485. MR**0064085****[4]**Alfred Brauer,*Elementary estimates for the least primitive root*, Studies in mathematics and mechanics presented to Richard von Mises, Academic Press Inc., New York, 1954, pp. 20–29. MR**0066412****[5]**William Judson LeVeque,*Topics in number theory. Vols. 1 and 2*, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1956. MR**0080682****[6]**Ivan Niven,*Irrational numbers*, The Carus Mathematical Monographs, No. 11, The Mathematical Association of America. Distributed by John Wiley and Sons, Inc., New York, N.Y., 1956. MR**0080123****[7]**Robert D. Carmichael,*The theory of numbers and Diophantine analysis*, Dover Publications, Inc., New York, 1959. MR**0105381****[8]**Wolfgang M. Schmidt,*On normal numbers*, Pacific J. Math.**10**(1960), 661–672. MR**0117212**

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DOI:
https://doi.org/10.1090/S0002-9939-1964-0160748-1

Article copyright:
© Copyright 1964
American Mathematical Society