Summation of Hyperharmonic Series
István Mező
Abstract
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István Mező
Abstract
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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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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