Geodesic
The Algebra of a $q$-Analogue of Multiple Harmonic Series
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: multiple harmonic series; $q$-analogue. 
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     author = {Yoshihiro Takeyama},
     title = {The {Algebra} of a~$q${-Analogue} of {Multiple} {Harmonic} {Series}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a60/}
}
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Yoshihiro Takeyama. The Algebra of a $q$-Analogue of Multiple Harmonic Series. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a60/

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