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Summation arithmetic functions with asymptotically independent summands
Victor Volfson
The summation arithmetic functions with asymptotically independent summands are studied in the paper. We prove statements about the condition under which the summation arithmetic f…
Investigations of Mertens and Liouville summation functions
Victor Volfson
Summation arithmetic functions of Mertens and Liouville are investigated in the paper. It is proved that the limiting distribution of these functions is the normal. It is also show…
Comparison of probabilistic and exact methods for estimating the asymptotic behavior of summation arithmetic functions
Victor Volfson
The paper compares probabilistic and exact methods for estimating the asymptotic behavior of summation arithmetic functions, and estimates of the results are obtained by precise me…
Investigations of the limit distribution and the asymptotic behavior of summation arithmetic functions
Victor Volfson
The aim of the paper is to study the limit distributions and the asymptotic behavior of summation arithmetic functions. A probabilistic approach based on the use of the axioms of p…