ON A CONJECTURE FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF A NATURAL NUMBER

被引：0
|
作者：
陈小夏
机构：
[1] PRC
[2] Hangzhou Normal College
[3] Hangzhou 310012
[4] Department of Mathematics
来源：
Science Bulletin | 1991年 / 06期
关键词：
In; ON A CONJECTURE FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF A NATURAL NUMBER;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let f(n)denote the number of factorizations of the natural number n into factors larger than 1, not considering the order of the factors. We call each of these factorizations a multiplicative partition of n, or simply, partition. Also let f(1)=1. On the upper bound of f(n), J. F. Hughes and J. O. Shallit proved that f(n)≤2n~(2) and mentioned two conjectures:
引用
收藏
页码：517 / 518
页数：2
相关论文
共 50 条
  • [31] EXTREMAL PROPERTIES OF NUMBER PARTITIONS
    STECHKIN, BS
    [J]. DOKLADY AKADEMII NAUK SSSR, 1982, 264 (04): : 833 - 836
  • [32] Partitions into powers of an algebraic number
    Kala, Vitezslav
    Zindulka, Mikulas
    [J]. RAMANUJAN JOURNAL, 2024, 64 (02): : 537 - 551
  • [33] NUMBER OF DOUBLY RESTRICTED PARTITIONS
    WHITE, JS
    [J]. COMMUNICATIONS OF THE ACM, 1970, 13 (02) : 120 - &
  • [34] An expansion for the number of partitions of an integer
    Brassesco, Stella
    Meyroneinc, Arnaud
    [J]. RAMANUJAN JOURNAL, 2020, 51 (03): : 563 - 592
  • [35] ON NUMBERS RELATED TO PARTITIONS OF A NUMBER
    GANDHI, JM
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (09): : 1033 - &
  • [36] Corrigendum to “On the number of partitions into primes”
    Vaughan R.C.
    [J]. The Ramanujan Journal, 2018, 46 (1) : 307 - 308
  • [37] Partitions in the prime number maze
    Hartley, MI
    [J]. ACTA ARITHMETICA, 2002, 105 (03) : 227 - 238
  • [38] Bounds for the number of multidimensional partitions
    Oganesyan, Kristina
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2024, 120
  • [39] Asymptotics of the Number of Restricted Partitions
    V. L. Chernyshev
    T. W. Hilberdink
    V. E. Nazaikinskii
    [J]. Russian Journal of Mathematical Physics, 2020, 27 : 456 - 468
  • [40] On the number of graphical forest partitions
    Frank, DA
    Savage, CD
    Sellers, JA
    [J]. ARS COMBINATORIA, 2002, 65 : 33 - 37
12345