Geodesic
Mean Values of Some Multiplicative Functions
Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 115-128

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We obtain asymptotic formulas for the mean values of a number of arithmetic functions $f=f(n)$ on a “short” interval of the form $x$, where the length $h$ differs from $x$ by a power-law decrease: $h=x^{1-\delta}$, $0\delta1$.
Keywords: arithmetic function, mean value of a multiplicative function, Riemann zeta function, Dirichlet series. 
@article{MZM_2015_97_1_a11,
     author = {A. A. Sedunova},
     title = {Mean {Values} of {Some} {Multiplicative} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {115--128},
     publisher = {mathdoc},
     volume = {97},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a11/}
}
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A. A. Sedunova. Mean Values of Some Multiplicative Functions. Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 115-128. http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a11/