Normality of numbers generated by the values of polynomials at primes

Yoshinobu Nakai; Iekata Shiokawa

Acta Arithmetica (1997)

  • Volume: 81, Issue: 4, page 345-356
  • ISSN: 0065-1036

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Yoshinobu Nakai, and Iekata Shiokawa. "Normality of numbers generated by the values of polynomials at primes." Acta Arithmetica 81.4 (1997): 345-356. <http://eudml.org/doc/207069>.

@article{YoshinobuNakai1997,
author = {Yoshinobu Nakai, Iekata Shiokawa},
journal = {Acta Arithmetica},
keywords = {polynomials at primes; normal numbers; -adic expansion},
language = {eng},
number = {4},
pages = {345-356},
title = {Normality of numbers generated by the values of polynomials at primes},
url = {http://eudml.org/doc/207069},
volume = {81},
year = {1997},
}

TY - JOUR
AU - Yoshinobu Nakai
AU - Iekata Shiokawa
TI - Normality of numbers generated by the values of polynomials at primes
JO - Acta Arithmetica
PY - 1997
VL - 81
IS - 4
SP - 345
EP - 356
LA - eng
KW - polynomials at primes; normal numbers; -adic expansion
UR - http://eudml.org/doc/207069
ER -

References

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  1. [1] A. H. Copeland and P. Erdős, Notes on normal numbers, Bull. Amer. Math. Soc. 52 (1946), 857-860. Zbl0063.00962
  2. [2] H. Davenport and P. Erdős, Note on normal decimals, Canad. J. Math. 4 (1952), 58-63. Zbl0046.04902
  3. [3] L.-K. Hua, Additive Theory of Prime Numbers, Transl. Math. Monograph 13, Amer. Math. Soc., Providence, RI, 1965. Zbl0192.39304
  4. [4] M. N. Huxley, The Distribution of Prime Numbers, Oxford Math. Monograph, Oxford Univ. Press, 1972. Zbl0248.10030
  5. [5] Y.-N. Nakai and I. Shiokawa, A class of normal numbers, Japan. J. Math. 16 (1990), 17-29. 
  6. [6] Y.-N. Nakai and I. Shiokawa, A class of normal numbers II, in: Number Theory and Cryptography, J. H. Loxton (ed.), London Math. Soc. Lecture Note Ser. 154, Cambridge Univ. Press, 1990, 204-210. 
  7. [7] Y.-N. Nakai and I. Shiokawa, Discrepancy estimates for a class of normal numbers, Acta Arith. 62 (1992), 271-284. 
  8. [8] J. Schiffer, Discrepancy of normal numbers, ibid. 47 (1986), 175-186. 
  9. [9] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., revised by D. R. Heath-Brown, Oxford Univ. Press, 1986. Zbl0601.10026
  10. [10] I. M. Vinogradov, The Method of Trigonometrical, Sums in Number Theory, Nauka, 1971 (in Russian). 

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