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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| Дата: | 2013 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149353 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149353 |
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dspace |
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irk-123456789-1493532019-02-22T01:23:02Z The Algebra of a q-Analogue of Multiple Harmonic Series Takeyama, Y. 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. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149353 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Takeyama, Y. |
| spellingShingle |
Takeyama, Y. The Algebra of a q-Analogue of Multiple Harmonic Series Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Takeyama, Y. |
| author_sort |
Takeyama, Y. |
| title |
The Algebra of a q-Analogue of Multiple Harmonic Series |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:32:47Z |
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2023-05-20T17:32:47Z |
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