Standard

On the asymptotic formulae for some multiplicative functions in short intervals. / Sedunova, Alisa.

In: International Journal of Number Theory, Vol. 11, No. 5, 05.08.2015, p. 1571-1587.

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

Harvard

Sedunova, A 2015, 'On the asymptotic formulae for some multiplicative functions in short intervals', International Journal of Number Theory, vol. 11, no. 5, pp. 1571-1587. https://doi.org/10.1142/S1793042115400102

APA

Sedunova, A. (2015). On the asymptotic formulae for some multiplicative functions in short intervals. International Journal of Number Theory, 11(5), 1571-1587. https://doi.org/10.1142/S1793042115400102

Vancouver

Sedunova A. On the asymptotic formulae for some multiplicative functions in short intervals. International Journal of Number Theory. 2015 Aug 5;11(5):1571-1587. https://doi.org/10.1142/S1793042115400102

Author

Sedunova, Alisa. / On the asymptotic formulae for some multiplicative functions in short intervals. In: International Journal of Number Theory. 2015 ; Vol. 11, No. 5. pp. 1571-1587.

BibTeX

@article{a947c9df47a9432bb24b8e23dda04964,
title = "On the asymptotic formulae for some multiplicative functions in short intervals",
abstract = "We are going to study the mean values of some multiplicative functions connected with the divisor function in short interval of summation. The asymptotics for such mean values will be proved. Considering instead of well-known multiplicative functions, their inverses lead to very weak results of application of standard methods of complex integration. In order to get better estimations, we propose another method which uses as its main tools the density estimates and zero-free region for Riemann function and Dirichlet L-functions.",
keywords = "Asymptotic formulas, divisor function, multiplicative functions, short interval",
author = "Alisa Sedunova",
year = "2015",
month = aug,
day = "5",
doi = "10.1142/S1793042115400102",
language = "English",
volume = "11",
pages = "1571--1587",
journal = "International Journal of Number Theory",
issn = "1793-0421",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "5",

}

RIS

TY - JOUR

T1 - On the asymptotic formulae for some multiplicative functions in short intervals

AU - Sedunova, Alisa

PY - 2015/8/5

Y1 - 2015/8/5

N2 - We are going to study the mean values of some multiplicative functions connected with the divisor function in short interval of summation. The asymptotics for such mean values will be proved. Considering instead of well-known multiplicative functions, their inverses lead to very weak results of application of standard methods of complex integration. In order to get better estimations, we propose another method which uses as its main tools the density estimates and zero-free region for Riemann function and Dirichlet L-functions.

AB - We are going to study the mean values of some multiplicative functions connected with the divisor function in short interval of summation. The asymptotics for such mean values will be proved. Considering instead of well-known multiplicative functions, their inverses lead to very weak results of application of standard methods of complex integration. In order to get better estimations, we propose another method which uses as its main tools the density estimates and zero-free region for Riemann function and Dirichlet L-functions.

KW - Asymptotic formulas

KW - divisor function

KW - multiplicative functions

KW - short interval

UR - http://www.scopus.com/inward/record.url?scp=84938751102&partnerID=8YFLogxK

U2 - 10.1142/S1793042115400102

DO - 10.1142/S1793042115400102

M3 - Article

AN - SCOPUS:84938751102

VL - 11

SP - 1571

EP - 1587

JO - International Journal of Number Theory

JF - International Journal of Number Theory

SN - 1793-0421

IS - 5

ER -

ID: 49819282