The value distribution of a multiplicative function |
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| Author |
Odessa State University
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| Abstract |
We consider a family of multiplicative functions $\kappa_\alpha(n)$ defined on the
set of natural numbers and give an asymptotic expression for the sum of
values of $\kappa_\alpha(n)$.
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| Keywords |
multiplicative functions, arithmetic functions on natural numbers, asymptotic expression, summatory function, analytic number theory, asymptotic estimates, multiplicative number-theoretic functions
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| DOI |
doi:10.30970/ms.13.1.3-10
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Reference |
1. Ivi c A. The Riemann zeta-function, New York, 1985.
2. Титчмарш Е. Дзета-функция Римана, Москва, ИЛ, 1953, 407 c. 3. Elliott P.D.T.A. Probabilistic number theory. II, Springer Verlag, New York, 1980, 341 c. 4. Карацуба А.А. Основы аналитической теории чисел, Москва, Наука, 1983, 239 c. |
| Pages |
3-10
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| Volume |
13
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| Issue |
1
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| Year |
2000
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |