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On a Reciprocity Law for Finite Multiple Zeta Values
Joint Authors
Source
International Journal of Combinatorics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
It was shown by Kirschenhofer and Prodinger (1998) and Kuba et al.
(2008) that harmonic numbers satisfy certain reciprocity relations, which are in particular useful for the analysis of the quickselect algorithm.
The aim of this work is to show that a reciprocity relation from Kirschenhofer and Prodinger (1998) and Kuba et al.
(2008) can be generalized to finite variants of multiple zeta values, involving a finite variant of the shuffle identity for multiple zeta values.
We present the generalized reciprocity relation and furthermore a combinatorial proof of the shuffle identity based on partial fraction decomposition.
We also present an extension of the reciprocity relation to weighted sums.
American Psychological Association (APA)
Kuba, Markus& Prodinger, Helmut. 2010. On a Reciprocity Law for Finite Multiple Zeta Values. International Journal of Combinatorics،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-450064
Modern Language Association (MLA)
Kuba, Markus& Prodinger, Helmut. On a Reciprocity Law for Finite Multiple Zeta Values. International Journal of Combinatorics No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-450064
American Medical Association (AMA)
Kuba, Markus& Prodinger, Helmut. On a Reciprocity Law for Finite Multiple Zeta Values. International Journal of Combinatorics. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-450064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450064