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Mean value of multiplicative functions and the distributionof values of real multiplicative functions

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Literature Cited

  1. G. Halasz, “On the distribution of additive and the mean values of multiplictive arithmetic functions,” Stud. Sci. Math. Hung.,6, 211–233 (1971).

    Google Scholar 

  2. A. Krattser and W. Franz, Transcendental Functions [Russian translation], IL, Moscow (1963).

    Google Scholar 

  3. Z. Kryzius, “Estimate of the speed of convergence in the integral limit theorem for multiplictive functions,” Liet. Mat. Rinkinys,20, No. 1, 71–84 (1980).

    Google Scholar 

  4. I. Kubilius, “Method of generating Dirichlet series in the theory of distributions of additive arithmetic functions. I,” Liet. Mat. Rinkinys,11, No. 1, 125–134 (1971).

    Google Scholar 

  5. I. Kubilius and Z. Yushkis, “On distributions of values of multiplicative functions,” Liet. Mat. Rinkinys,11, No. 2, 261–273 (1971).

    Google Scholar 

  6. A. Laurinchikas, “Large deviations of arithmetic functions,” Liet. Mat. Rinkinys,16, No. 1, 159–171 (1976).

    Google Scholar 

  7. É. Manstavichyus, “On estimating the error term in integral asymptotic laws for multiplicative functions,” Liet. Mat. Rinkinys,12, No. 1, 165–172 (1972).

    Google Scholar 

  8. É. Manstavichyus, “Asymptotic expansion of distribution laws for multiplicative arithmetic functions,” Liet. Mat. Rinkinys,12, No. 2, 87–101 (1972).

    Google Scholar 

  9. É. Manstavichyus, “Application of the method of generating Dirichlet series in the theory of distribution of values of arithmetic functions,” Liet. Mat. Rinkinys,16, No. 1, 99–111 (1974).

    Google Scholar 

  10. N. M. Timofeev, “Estimate of the error term in one-dimensional asymptotic laws,” Dokl. Akad. Nauk SSSR,200, No. 2, 298–301 (1971).

    Google Scholar 

  11. S. T. Tulyaganov, “Asymptotic expansion of distribution functions of multiplicative arithmetic functions,” Izv. Akad. Nauk Uzb. SSR, Ser. Fiz.-Mat. Nauk, No. 1, 38–44 (1975).

    Google Scholar 

  12. S. T. Tulyaganov, “Estimates of the derivation of distribution functions of multiplicative functions from the limit law,” Nauchnye Tr. Tash. Gos. Univ., No. 490, 197–204 (1976).

    Google Scholar 

  13. S. T. Tulyaganov, “Estimate of the error term in a theorem on summation of multiplicative functions,” Izv. Akad. Nauk Uzb. SSR, Ser. Fiz.-Mat. Nauk, No. 6, 25–33 (1977).

    Google Scholar 

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Authors
  1. Z. Kryžius
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Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 20, No. 2, pp. 69–78, April–June, 1980.

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Kryžius, Z. Mean value of multiplicative functions and the distributionof values of real multiplicative functions. Lith Math J 20, 118–124 (1980). https://doi.org/10.1007/BF00966577

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  • DOI: https://doi.org/10.1007/BF00966577

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