整数幂超和的因式分解与行列式表达式
数论
2011-04-27 v3
摘要
我们推导出一个紧凑的行列式公式，用于计算和因式分解以变量N(N+L+1)表示的超和多项式S^{(L)}_k(N) ≡ ∑_{n_1=1}^N ...∑_{n_{L+1}=1}^{n_{L}}(n_{L+1})^k。
引用
@article{arxiv.1104.4332,
title = {Factorization of and Determinant Expressions for the Hypersums of Powers of Integers},
author = {Jerome Malenfant},
journal= {arXiv preprint arXiv:1104.4332},
year = {2011}
}
备注
Corrected a minor typo in eq.(4), (thanks to Dr. Akos Pinter for pointing this out); 35 pages