Factorization of and Determinant Expressions for the Hypersums of Powers of Integers

Jerome Malenfant

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arXiv · 1104.4332

Factorization of and Determinant Expressions for the Hypersums of Powers of Integers

Jerome Malenfant

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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)

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Jerome Malenfant. 2011-04-21. Factorization of and Determinant Expressions for the Hypersums of Powers of Integers. https://arxiv.org/abs/1104.4332

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