An Asymptotic Formula for Short Sums of Gcd- Sum Functions

被引：0

作者：

Bordelles, Olivier ^{[1
]}

机构：

[1] 2,alla Combe, Aiguille F-43000, France

来源：

JOURNAL OF INTEGER SEQUENCES | 2012年 / 15卷 / 06期

关键词：

Short sum; composition; Dirichlet convolution; asymptotic result;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove an asymptotic formula for sums, over short segments, of the composition of the gcd and arithmetic functions belonging to certain classes. Two examples are also given.

引用

页数：5

共 50 条

[21] Restricted sum formula of alternating Euler sums
Zhao, Jianqiang
RAMANUJAN JOURNAL, 2015, 36 (03): : 375 - 401
[22] Asymptotic formulas for generalized gcd-sum and lcm-sum functions over r-regular integers (mod nr)
Bu, Zhengjin
Xu, Zhefeng
AIMS MATHEMATICS, 2021, 6 (12): : 13157 - 13169
[23] An asymptotic formula for a trigonometric sum of vinogradov
Cochrane, T
Peral, JC
JOURNAL OF NUMBER THEORY, 2001, 91 (01) : 1 - 19
[24] GCD sums from Poisson integrals and systems of dilated functions
Aistleitner, Christoph
Berkes, Istvan
Seip, Kristian
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2015, 17 (06) : 1517 - 1546
[25] Mean Values of Generalized gcd-sum and lcm-sum Functions
Bordelles, Olivier
JOURNAL OF INTEGER SEQUENCES, 2007, 10 (09)
[26] Mean Value of r-gcd-sum and r-lcm-Sum Functions
Bu, Zhengjin
Xu, Zhefeng
SYMMETRY-BASEL, 2022, 14 (10):
[27] ASYMPTOTIC DISTRIBUTION OF SUMS OF RADEMACHER FUNCTIONS
SMITH, JC
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (12) : 941 - 944
[28] Weighted Gcd-Sum Functions (vol 14, 2011)
Toth, Laszlo
JOURNAL OF INTEGER SEQUENCES, 2011, 14 (07)
[29] An interesting identity and asymptotic formula related to the Dedekind sums
XU ZheFeng
ZHANG WenPeng
Science China(Mathematics), 2014, 57 (03) : 659 - 663
[30] An interesting identity and asymptotic formula related to the Dedekind sums
ZheFeng Xu
WenPeng Zhang
Science China Mathematics, 2014, 57 : 659 - 663

← 1 2 3 4 5 →