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Distribution of consecutive digits in theq-ary expansions of some subsequences of integers

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Abstract

Asymptotic normality is established for consecutive digits in the q-ary expansions of some subsequences of integers.

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References

  1. I. M. Vinogradov,Method of Trigometric Sums in the Theory of Numbers [in Russian], Nauka, Moscow (1980).

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  2. N. L. Bassily, “Distribution ofq-ary digits in some sequences of integers,”Ann. Univ. Sci. Budapest, Sect. Comp.,14, 13–22 (1994).

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  3. N. L. Bassily and I. Kátai, “Distribution of the values ofq-additive functions on polynomial sequences,”Acta Math. Hung. (to appear).

  4. L. K. Hua,Additive Theory of Prime Numbers, AMS, Providence, Rhode Island (1965).

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  5. I. M. Ibragimov and Yu. V. Linnik,Independent and Stationary Sequences of Random Variables, Wolters-Noordhoff, Groningen (1971).

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Ain Shams University, Cairo, Egypt

    N. L. Bassily

  2. Department of Computer Algebra, Eötvös L. University, Budapest, Hungary

    I. Kátai

Authors
  1. N. L. Bassily
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  2. I. Kátai
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Additional information

Proceedings of the XVI Seminar on Stability Problems for Stochastic Models, Part II, Eger, Hungary, 1994.

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Bassily, N.L., Kátai, I. Distribution of consecutive digits in theq-ary expansions of some subsequences of integers. J Math Sci 78, 11–17 (1996). https://doi.org/10.1007/BF02367950

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  • DOI: https://doi.org/10.1007/BF02367950

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