Factorization of and Determinant Expressions for the Hypersums of Powers of Integers
arXiv:1104.4332
Abstract
We derive a compact determinant formula for calculating and factorizing the hypersum polynomials S^{(L)}_k(N) \equiv \sum_{n_1=1}^N ...\sum_{n_{L+1}=1}^{n_{L}}(n_{L+1})^k expressed in the variable N(N+L+1)
Corrected a minor typo in eq.(4), (thanks to Dr. Akos Pinter for pointing this out); 35 pages