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Matematicheskie Zametki, 2015, Volume 97, Issue 1, Pages 115–128
DOI: https://doi.org/10.4213/mzm10571 (Mi mzm10571) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mean Values of Some Multiplicative Functions

A. A. Sedunova

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
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DOI: https://doi.org/10.4213/mzm10571
Abstract: We obtain asymptotic formulas for the mean values of a number of arithmetic functions $f=f(n)$ on a “short” interval of the form $x<n\le x+h$, where the length $h$ differs from $x$ by a power-law decrease: $h=x^{1-\delta}$, $0<\delta<1$.
Keywords: arithmetic function, mean value of a multiplicative function, Riemann zeta function, Dirichlet series.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-31165_мол_а
This work was supported by the Russian Foundation for Basic Research (grant no. 12-01-31165_mol_a).
Received: 27.05.2013
Revised: 07.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 1, Pages 111–123
DOI: https://doi.org/10.1134/S0001434615010137
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. A. Sedunova, “Mean Values of Some Multiplicative Functions”, Mat. Zametki, 97:1 (2015), 115–128; Math. Notes, 97:1 (2015), 111–123
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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