Hyperharmonic series involving Hurwitz zeta function
62 citations recorded by the source corpus.
Abstract We show that the sum of the series formed by the so-called hyperharmonic numbers can be expressed in terms of the Riemann zeta function. These results enable us to reformulate Euler's formula involving the Hurwitz zeta function. In additon, we improve Conway and Guy's formula for hyperharmonic numbers.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/2bb676e2cbfcfb83810d3cec35c2b279076629cc
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
Citations in the corpus
- Euler Sums of Hyperharmonic Numbers (2012, methodology): “Using the relation (3) , Mező and Dil ([7], Corollary 3) found that the series σ (r,m) converges for m > r, i.”