The Algebra of a q-Analogue of Multiple Harmonic Series
We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a q-analogue of Hoffman's identity for multiple zeta values. We also discuss t...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149353 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Algebra of a q-Analogue of Multiple Harmonic Series / Y. Takeyama // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 11 назв. — англ. |
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Takeyama, Y. 2019-02-21T07:09:22Z 2019-02-21T07:09:22Z 2013 The Algebra of a q-Analogue of Multiple Harmonic Series / Y. Takeyama // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 11 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 11M32; 33E20 DOI: http://dx.doi.org/10.3842/SIGMA.2013.061 https://nasplib.isofts.kiev.ua/handle/123456789/149353 We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a q-analogue of Hoffman's identity for multiple zeta values. We also discuss the dimension of the space spanned by the linear relations realized in our algebra. This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. The research of the author is supported by Grant-in-Aid for Young Scientists (B) No. 23740119. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Algebra of a q-Analogue of Multiple Harmonic Series Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Algebra of a q-Analogue of Multiple Harmonic Series |
| spellingShingle |
The Algebra of a q-Analogue of Multiple Harmonic Series Takeyama, Y. |
| title_short |
The Algebra of a q-Analogue of Multiple Harmonic Series |
| title_full |
The Algebra of a q-Analogue of Multiple Harmonic Series |
| title_fullStr |
The Algebra of a q-Analogue of Multiple Harmonic Series |
| title_full_unstemmed |
The Algebra of a q-Analogue of Multiple Harmonic Series |
| title_sort |
algebra of a q-analogue of multiple harmonic series |
| author |
Takeyama, Y. |
| author_facet |
Takeyama, Y. |
| publishDate |
2013 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a q-analogue of Hoffman's identity for multiple zeta values. We also discuss the dimension of the space spanned by the linear relations realized in our algebra.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149353 |
| citation_txt |
The Algebra of a q-Analogue of Multiple Harmonic Series / Y. Takeyama // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 11 назв. — англ. |
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AT takeyamay thealgebraofaqanalogueofmultipleharmonicseries AT takeyamay algebraofaqanalogueofmultipleharmonicseries |
| first_indexed |
2025-12-07T16:34:21Z |
| last_indexed |
2025-12-07T16:34:21Z |
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1850867985708744704 |