The Algebra of a q-Analogue of Multiple Harmonic Series

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
→
Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Takeyama, Y.
dc.date.accessioned	2019-02-21T07:09:22Z
dc.date.available	2019-02-21T07:09:22Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 11M32; 33E20
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.061
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149353
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	The Algebra of a q-Analogue of Multiple Harmonic Series	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA