Additive problems for integers with a given number of prime divisors

被引：1

作者：

Khripunova, MB ^{[1
]}

机构：

[1] Vladimir State Pedag Univ, Vladimir, Russia

来源：

MATHEMATICAL NOTES | 1998年 / 63卷 / 5-6期

关键词：

prime divisor; Titchmarsh problem; asymptotics of the sum of divisors;

D O I：

10.1007/BF02312848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotics of sums of the form Sigma r(\bn - a\) (summation over n < N, omega(n) = k) is studied, where omega(n) is the number of distinct prime divisors of n, and r(n) is the number of all divisors.

引用

页码：658 / 669

页数：12

共 50 条

[1] Additive problems for integers with a given number of prime divisors
M. B. Khripunova
Mathematical Notes, 1998, 63 : 658 - 669
[2] The Titchmarsh problem with integers having a given number of prime divisors
Timofeev, NM
Khripunova, MB
MATHEMATICAL NOTES, 1996, 59 (3-4) : 421 - 434
[3] Integers with a given number of divisors
Chen, Yong-Gao
Mei, Shu-Yuan
JOURNAL OF NUMBER THEORY, 2014, 143 : 109 - 124
[4] On integers whose number of prime divisors belongs to a given residue class
Changa, M. E.
IZVESTIYA MATHEMATICS, 2019, 83 (01) : 173 - 183
[5] REMARKS ON THE NUMBER OF PRIME DIVISORS OF INTEGERS
Hassani, Mehdi
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (03): : 843 - 849
[6] Additive problems with numbers having given amount of prime divisors
Timofeev, NM
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1996, (06): : 98 - 101
[7] The number of prime factors of integers with dense divisors
Weingartner, Andreas
JOURNAL OF NUMBER THEORY, 2022, 239 : 57 - 77
[8] NUMBER OF LARGE PRIME DIVISORS OF CONSECUTIVE INTEGERS
GALAMBOS, J
JOURNAL OF NUMBER THEORY, 1977, 9 (03) : 338 - 341
[9] Number of prime divisors in a product of consecutive integers
Laishram, S
Shorey, TN
ACTA ARITHMETICA, 2004, 113 (04) : 327 - 341
[10] ON THE NUMBER OF PRIME FACTORS OF INTEGERS WITHOUT LARGE PRIME DIVISORS
HILDEBRAND, A
JOURNAL OF NUMBER THEORY, 1987, 25 (01) : 81 - 106

← 1 2 3 4 5 →