Restricted partition functions as Bernoulli and Eulerian polynomials of higher order

被引：0
作者：
Boris Y. Rubinstein
Leonid G. Fel
机构：
[1] University of California,Department of Mathematics
[2] Davis,Department of Civil and Environmental Engineering
[3] Technion,undefined
来源：
The Ramanujan Journal | 2006年 / 11卷
关键词：
Restricted partitions; Bernoulli polynomials of higher order; Eulerian polynomials of higher order; Recursive relation;
D O I：
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中图分类号：
学科分类号：
摘要：
Explicit expressions for restricted partition function W(s,dm) and its quasiperiodic components Wj(s,dm) (called Sylvester waves) for a set of positive integers dm = {d1, d2, ..., dm} are derived. The formulas are represented in a form of a finite sum over Bernoulli and Eulerian polynomials of higher order with periodic coefficients. A novel recursive relation for the Sylvester waves is established. Application to counting algebraically independent homogeneous polynomial invariants of finite groups is discussed.
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页码：331 / 347
页数：16
相关论文
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