Expression for restricted partition function through Bernoulli polynomials

被引：3
|
作者：
Rubinstein, Boris Y. [1 ]
机构：
[1] Stowers Inst Med Res, Kansas City, MO 64110 USA
来源：
RAMANUJAN JOURNAL | 2008年 / 15卷 / 02期
关键词：
restricted partitions; Bernoulli polynomials of higher order;
D O I：
10.1007/s11139-007-9070-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Explicit expressions for restricted partition function W(s,d(m) ) and its quasiperiodic components W (j) (s,d(m) ) (called Sylvester waves) for a set of positive integers d(m) supercript stop={d(1),d(2),...,d (m)} are derived. The formulas are represented in a form of a finite sum over Bernoulli polynomials of higher order with periodic coefficients.
引用
收藏
页码：177 / 185
页数：9
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