2008arXiv (Cornell University)Open access

Summation of Hyperharmonic Series

István Mező

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Abstract

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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What this paper is about

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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Available abstract

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.

Key concepts: Series (stratigraphy), Riemann zeta function, Mathematics, Riemann hypothesis, Divergent series, Function (biology), Pure mathematics, Applied mathematics

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