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arxiv: 0811.0042 · v1 · submitted 2008-10-31 · 🧮 math.CO

Summation of Hyperharmonic Series

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keywords hyperharmonicseriessummationexactlyexpressedformedformulafunction
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We shall show that the sum of the series formed by the so-called hyperharmonic numbers can be expressed in terms of the Riemann zeta function. More exactly, we give summation formula for the general hyperharmonic series.

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