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

[41] Integers free of prime divisors from an interval, I
Weingartner, A
ACTA ARITHMETICA, 2001, 98 (02) : 117 - 131
[42] Ternary problems in additive prime number theory
Brüdern, J
Kawada, K
ANALYTIC NUMBER THEORY, 2002, 6 : 39 - 91
[43] ON THE NUMBER OF POSITIVE INTEGERS LESS THAN X AND FREE OF PRIME DIVISORS GREATER THAN XC
RAMASWAMI, V
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (12) : 1122 - 1127
[44] On the maximal and minimal exponent of the prime power divisors of integers
Kátai, I
Subbarao, MV
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 68 (3-4): : 477 - 488
[45] ALGEBRAIC INTEGERS WITH DISCRIMINANTS CONTAINING FIXED PRIME DIVISORS
TRELINA, LA
MATHEMATICAL NOTES, 1977, 21 (3-4) : 161 - 165
[46] CONSTRUCTION OF NORMAL NUMBERS BY CLASSIFIED PRIME DIVISORS OF INTEGERS
De Koninck, Jean-Marie
Katai, Imre
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2011, 45 (02) : 231 - 253
[47] INTEGERS FREE OF LARGE PRIME DIVISORS IN SHORT INTERVALS
HILDEBRAND, A
QUARTERLY JOURNAL OF MATHEMATICS, 1985, 36 (141): : 57 - 69
[48] ON THE NUMBER OF PRIME FACTORS OF INTEGERS
BALAZARD, M
DELANGE, H
NICOLAS, JL
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1988, 306 (13): : 511 - 514
[49] ON THE NUMBER OF PRIME FACTORS OF INTEGERS
ERDOS, P
SARKOZY, A
ACTA SCIENTIARUM MATHEMATICARUM, 1980, 42 (3-4): : 237 - 246
[50] Additive evaluations of the number of divisors
Merca, Mircea
RAMANUJAN JOURNAL, 2024, 63 (03): : 583 - 601

← 1 2 3 4 5 →