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The paper compares probabilistic and exact methods for estimating theasymptotic behavior of summation arithmetic functions, and estimates of theresults are obtained by precise methods. Conditions for stationarity in thebroad sense are investigated for summation arithmetic functions. A lemma andtheorems about the estimation of the standard deviation for the summationarithmetic Mertens and Lowville functions completely satisfying thestationarity conditions in the broad sense are proved.

Comparison of probabilistic and exact methods for estimating the asymptotic behavior of summation arithmetic functions