On Two Types of Harmonic Number Identities

On Two Types of Harmonic Number Identities
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DOI:
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发表时间:
2012-02
期刊:
arXiv: Number Theory
影响因子:
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通讯作者:
M. Kronenburg
M. Kronenburg
中科院分区:
其他
文献类型:
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作者:
M. Kronenburg

文献摘要

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计算了两类非负整数幂的调和数乘积的有限级数,得到了另外两个重要的调和数恒等式。导出了这些和的递推公式,这些公式很容易转化为计算机程序。
Two types of finite series of products of harmonic numbers involving nonnegative integer powers are evaluated, also yielding two other important harmonic number identities. The recursion formulas for these sums are derived, which are easily translated into a computer program.