Normality of numbers generated by the values of polynomials at primes

• Autorzy: Yoshinobu Nakai , Iekata Shiokawa
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 81
• Numer: 4
• Strony: 345-356

Daty

wydano

1997

otrzymano

1996-06-28

poprawiono

1996-12-16

Twórcy

autor

Yoshinobu Nakai

• Department of Mathematics, Faculty of Education, Yamanashi University, Kofu, 400 Japan

autor

Iekata Shiokawa

• Department of Mathematics, Keio University, Hiyoshi, Yokohama, 223 Japan

Bibliografia

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