<div class="csl-bib-body">
<div class="csl-entry">Kuba, M., & Panholzer, A. (2019). A note on harmonic number identities, Stirling series and multiple zeta values. <i>International Journal of Number Theory</i>, <i>15</i>(07), 1323–1348. https://doi.org/10.1142/s179304211950074x</div>
</div>
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dc.identifier.issn
1793-0421
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/143714
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dc.description.abstract
We study a general type of series and relate special cases of it to Stirling series, infinite series discussed by Choi and Hoffman, and also to special values of the Arakawa–Kaneko zeta function, studied before amongst others by Candelpergher and Coppo, and also by Young. We complement and generalize earlier results. Moreover, we survey properties of certain truncated multiple zeta and zeta star values, pointing out their relation to finite sums of harmonic numbers. We also discuss the duality result of Hoffman, relating binomial sums and truncated multiple zeta star values.
en
dc.language.iso
en
-
dc.relation.ispartof
International Journal of Number Theory
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dc.subject
Algebra and Number Theory
en
dc.title
A note on harmonic number identities, Stirling series and multiple zeta values
en
dc.type
Artikel
de
dc.type
Article
en
dc.contributor.affiliation
University of Applied Sciences Technikum Wien, Austria
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dc.description.startpage
1323
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dc.description.endpage
1348
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dcterms.dateSubmitted
2018-07-06
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dc.type.category
Original Research Article
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tuw.container.volume
15
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tuw.container.issue
07
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.researchTopic.id
X1
-
tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
International Journal of Number Theory
-
tuw.publication.orgunit
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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tuw.publisher.doi
10.1142/s179304211950074x
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dc.identifier.eissn
1793-7310
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dc.description.numberOfPages
26
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wb.sci
true
-
wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
en
wb.facultyfocus.faculty
E100
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item.openairetype
research article
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item.fulltext
no Fulltext
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item.grantfulltext
none
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item.languageiso639-1
en
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.cerifentitytype
Publications
-
crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.dept
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
-
crisitem.author.parentorg
E100 - Fakultät für Mathematik und Geoinformation
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
