Comparison of probabilistic and exact methods for estimating the asymptotic behavior of summation arithmetic functions
Number Theory
2018-06-11 v2
Abstract
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 methods. Conditions for stationarity in the broad sense are investigated for summation arithmetic functions. A lemma and theorems about the estimation of the standard deviation for the summation arithmetic Mertens and Lowville functions completely satisfying the stationarity conditions in the broad sense are proved.
Keywords
Cite
@article{arxiv.1805.11880,
title = {Comparison of probabilistic and exact methods for estimating the asymptotic behavior of summation arithmetic functions},
author = {Victor Volfson},
journal= {arXiv preprint arXiv:1805.11880},
year = {2018}
}
Comments
9 pages