user

WHAT THE LEAST COMMON MULTIPLE DIVIDES

被引：4
|
作者：
MYERSON, G [1 ]
机构：
[1] MACQUARIE UNIV, CTR NUMBER THEORY RES, N RYDE, NSW 2109, AUSTRALIA
来源：
JOURNAL OF NUMBER THEORY | 1994年 / 48卷 / 01期
关键词：
D O I：
10.1006/jnth.1994.1054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The least common multiple of the first n positive integers divides a certain multinomial coefficient. This is a special case of a theorem proved here in the context of commutative monoids. We discuss the extent to which the theorem is best possible. (C) 1994 Academic Press, Inc.
引用
收藏
页码：80 / 87
页数：8
相关论文
共 50 条
  • [41] The least common multiple of random sets of positive integers
    Cilleruelo, Javier
    Rue, Juanjo
    Sarka, Paulius
    Zumalacarregui, Ana
    JOURNAL OF NUMBER THEORY, 2014, 144 : 92 - 104
  • [42] An improved bound on the least common multiple of polynomial sequences
    Sah, Ashwin
    JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (03): : 891 - 899
  • [43] The least common multiple of a sequence of products of linear polynomials
    Hong, S.
    Qian, G.
    Tan, Q.
    ACTA MATHEMATICA HUNGARICA, 2012, 135 (1-2) : 160 - 167
  • [44] On the least common multiple of random q-integers
    Sanna, Carlo
    RESEARCH IN NUMBER THEORY, 2021, 7 (01)
  • [45] ON THE LEAST COMMON MULTIPLE OF A SET OF INTEGERS NOT EXCEEDING N
    GOUTZIERS, CJ
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1980, 83 (02): : 163 - 169
  • [46] On the least common multiple of polynomial sequences at prime arguments
    Nath, Ayan
    Jha, Abhishek
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (06) : 1227 - 1237
  • [47] A lower bound on the least common multiple of polynomial sequences
    Maynard, James
    Rudnick, Ze'ev
    RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2021, 12 (01): : 143 - 150
  • [48] On the least common multiple of random q-integers
    Carlo Sanna
    Research in Number Theory, 2021, 7
  • [49] What divides us and what unites us?
    Rachel Ellaway
    Martin Tolsgaard
    Maria Athina Martimianakis
    Advances in Health Sciences Education, 2020, 25 : 1019 - 1023
  • [50] The least common multiple of a sequence of products of linear polynomials
    Shaofang Hong
    Guoyou Qian
    Qianrong Tan
    Acta Mathematica Hungarica, 2012, 135 : 160 - 167
12345