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The Algebra of a q-Analogue of Multiple Harmonic Series

Vernadsky National Library of Ukraine

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Title The Algebra of a q-Analogue of Multiple Harmonic Series
 
Creator Takeyama, Y.
 
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.
 
Date 2019-02-21T07:09:22Z
2019-02-21T07:09:22Z
2013
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України