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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2013 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149353 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862698908751233024 |
|---|---|
| author | Takeyama, Y. |
| author_facet | Takeyama, Y. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T16:34:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149353 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:34:21Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Algebra of a q-Analogue of Multiple Harmonic Series Takeyama, Y. |
| title | 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_short | The Algebra of a q-Analogue of Multiple Harmonic Series |
| title_sort | algebra of a q-analogue of multiple harmonic series |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149353 |
| work_keys_str_mv | AT takeyamay thealgebraofaqanalogueofmultipleharmonicseries AT takeyamay algebraofaqanalogueofmultipleharmonicseries |