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
收藏
页码：658 / 669
页数：12
相关论文
共 50 条
  • [31] The minimal number with a given number of divisors
    Brown, R
    JOURNAL OF NUMBER THEORY, 2006, 116 (01) : 150 - 158
  • [32] NUMBER OF PRIME DIVISORS OF A PERFECT NUMBER
    NICOL, CA
    VAIDYA, AM
    NORTON, KK
    AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (01): : 77 - &
  • [33] On the smallest number with a given number of divisors
    Anna K. Savvopoulou
    Christopher M. Wedrychowicz
    The Ramanujan Journal, 2015, 37 : 51 - 64
  • [34] On the smallest number with a given number of divisors
    Savvopoulou, Anna K.
    Wedrychowicz, Christopher M.
    RAMANUJAN JOURNAL, 2015, 37 (01): : 51 - 64
  • [35] On consecutive integers divisible by the number of their divisors
    Andreescu, Titu
    Luca, Florian
    Phaovibul, M. Tip
    ACTA ARITHMETICA, 2016, 173 (03) : 269 - 281
  • [36] SMALLEST NUMBER WITH A GIVEN NUMBER OF DIVISORS
    GROST, ME
    AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (07): : 725 - &
  • [37] REPRESENTATIONS OF INTEGERS PRIME TO A GIVEN INTEGER
    WILSON, JP
    AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (4P1): : 375 - &
  • [38] THE NUMBER OF PRIME DIVISORS OF (KN)
    BATTLES, F
    FULLER, DC
    WAGNER, C
    TWO-YEAR COLLEGE MATHEMATICS JOURNAL, 1983, 14 (03): : 264 - 265
  • [39] On ternary problems in additive prime number theory
    Zhao, Lilu
    JOURNAL OF NUMBER THEORY, 2017, 178 : 179 - 189
  • [40] Integers free of prime divisors from an interval, II
    Weingartner, A
    ACTA ARITHMETICA, 2002, 104 (04) : 309 - 343
12345