APPLICATIONS OF THE SYMMETRICAL CHAIN DECOMPOSITION OF THE LATTICE OF DIVISORS

被引：0

作者：

GRIGGS, JR ^{[1
]}

ZHU, CZ ^{[1
]}

机构：

[1] UNIV S CAROLINA,DEPT MATH,COLUMBIA,SC 29208

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1994年 / 11卷 / 01期

关键词：

LATTICE OF DIVISORS; MULTISETS; SYMMETRICAL CHAIN DECOMPOSITION; BRACKETING; LITTLEWOOD-OFFORD PROBLEM;

D O I：

10.1007/BF01462228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The symmetric chain decomposition of the lattice of divisors, D(N), is applied to prove results about the strict unimodality of the Whitney numbers of D(N), about minimum interval covers for the union of consecutive rank-sets of D(N), and about the distribution of sums of vectors in which each vector can be included several times (an extension of the famous Littlewood-Offord problem).

引用

页码：41 / 46

页数：6

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