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Mathematics > Number Theory

arXiv:1805.11880 (math)
[Submitted on 30 May 2018 (v1), last revised 8 Jun 2018 (this version, v2)]

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

Authors:Victor Volfson
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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.
Comments: 9 pages
Subjects: Number Theory (math.NT)
MSC classes: 11N37
Cite as: arXiv:1805.11880 [math.NT]
  (or arXiv:1805.11880v2 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.1805.11880

Submission history

From: Victor Leonidovich Volfson [view email]
[v1] Wed, 30 May 2018 09:49:15 UTC (264 KB)
[v2] Fri, 8 Jun 2018 11:16:11 UTC (265 KB)
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