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Distribution of values of certain classes of additive arithmetic functions in algebraic number fields

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Abstract

An investigation is made of the generalization of a theorem of B. V. Levin and A. S. Fainleib for homothetically extending regions in a certain n-dimensional real space connected with a given field K of algebraic numbers of degree n≥2; the paper also investigates applications of the theorem to the problem of the distribution of real additive functions which are given on a set of ideal numbers and which belong to a wider class than the class H of I. P. Kubilyus.

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Authors and Affiliations

  1. V. I. Lenin Tashkent State University, USSR

    R. S. Baibulatov

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  1. R. S. Baibulatov
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Translated from Matematicheskie Zametki, Vol. 4, No. 1, pp. 63–74, July, 1968.

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Baibulatov, R.S. Distribution of values of certain classes of additive arithmetic functions in algebraic number fields. Mathematical Notes of the Academy of Sciences of the USSR 4, 528–534 (1968). https://doi.org/10.1007/BF01429815

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  • DOI: https://doi.org/10.1007/BF01429815

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