Standard

Mean values of some multiplicative functions. / Sedunova, A. A.

In: Mathematical Notes, Vol. 97, No. 1-2, 18.01.2015, p. 111-123.

Research output: Contribution to journal › Article › peer-review

Harvard

Sedunova, AA 2015, 'Mean values of some multiplicative functions', Mathematical Notes, vol. 97, no. 1-2, pp. 111-123. https://doi.org/10.1134/S0001434615010137

APA

Sedunova, A. A. (2015). Mean values of some multiplicative functions. Mathematical Notes, 97(1-2), 111-123. https://doi.org/10.1134/S0001434615010137

Vancouver

Sedunova AA. Mean values of some multiplicative functions. Mathematical Notes. 2015 Jan 18;97(1-2):111-123. https://doi.org/10.1134/S0001434615010137

Author

Sedunova, A. A. / Mean values of some multiplicative functions. In: Mathematical Notes. 2015 ; Vol. 97, No. 1-2. pp. 111-123.

BibTeX

@article{340930097cb5416190929dea98541307,
title = "Mean values of some multiplicative functions",
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 ≤ x + h, where the length h differs from x by a power-law decrease: h=x1-δ, 0 < δ < 1.",
keywords = "arithmetic function, Dirichlet series, mean value of a multiplicative function, Riemann zeta function",
author = "Sedunova, {A. A.}",
year = "2015",
month = jan,
day = "18",
doi = "10.1134/S0001434615010137",
language = "English",
volume = "97",
pages = "111--123",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "1-2",

}

RIS

TY - JOUR

T1 - Mean values of some multiplicative functions

AU - Sedunova, A. A.

PY - 2015/1/18

Y1 - 2015/1/18

N2 - 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 ≤ x + h, where the length h differs from x by a power-law decrease: h=x1-δ, 0 < δ < 1.

AB - 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 ≤ x + h, where the length h differs from x by a power-law decrease: h=x1-δ, 0 < δ < 1.

KW - arithmetic function

KW - Dirichlet series

KW - mean value of a multiplicative function

KW - Riemann zeta function

UR - http://www.scopus.com/inward/record.url?scp=84941630370&partnerID=8YFLogxK

U2 - 10.1134/S0001434615010137

DO - 10.1134/S0001434615010137

M3 - Article

AN - SCOPUS:84941630370

VL - 97

SP - 111

EP - 123

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1-2

ER -

ID: 49819234