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

R. S. Baibulatov

V. I. Lenin Tashkent State University

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 $n\ge2$; 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.

UDC: 511

Received: 01.12.1967

 English version: Mathematical Notes, 1968, 4:1, 528–534

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