ON THE DISTRIBUTION OF k-FREE INTEGERS

被引：4

作者：

Liu, H-Q. ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2014年 / 144卷 / 02期

关键词：

k-free integer; Riemann hypothesis; exponential sum; EXPONENTIAL-SUMS; NUMBERS;

D O I：

10.1007/s10474-014-0454-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give two new bounds for double exponential sums of type II, by which we get new results (under RH, as before) for the distribution of k-free integers for k >= 5.

引用

页码：269 / 284

页数：16

共 50 条

[1] On the distribution of k-free integers
H.-Q. Liu
[J]. Acta Mathematica Hungarica, 2014, 144 : 269 - 284
[2] DISTRIBUTION OF GENERALIZED K-FREE INTEGERS IN RESIDUE CLASSES
SUBBARAO, MV
FENG, YK
[J]. DUKE MATHEMATICAL JOURNAL, 1971, 38 (04) : 741 - &
[3] SCHNIRELMANN DENSITY OF K-FREE INTEGERS
DUNCAN, RL
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (05) : 1090 - &
[4] SUMSETS CONTAINING K-FREE INTEGERS
NATHANSON, MB
[J]. LECTURE NOTES IN MATHEMATICS, 1989, 1380 : 179 - 184
[5] SCHNIRELMANN DENSITY OF K-FREE INTEGERS
DIANANDA, PH
SUBBARAO, MV
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 62 (01) : 7 - 10
[6] ON ASYMPTOTIC DENSITY OF K-FREE INTEGERS
STARK, HM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (05) : 1211 - &
[7] ORDER OF ERROR FUNCTION OF K-FREE INTEGERS
SURYANARAYANA, D
RAO, RS
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 28 (01) : 53 - +
[8] K-FREE ELEMENTS IN COSETS OF GENERALIZED INTEGERS
MULLER, H
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1975, 273 (APR25): : 138 - 143
[9] Number of shifted primes as k-free integers
Alkan, Emre
[J]. NUMBER THEORY, 2022, : 15 - 34
[10] On the representation of k-free integers by binary forms
Stewart, Cameron L.
Xiao, Stanley Yao
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2021, 37 (02) : 723 - 748

← 1 2 3 4 5 →