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The Algebra of a q-Analogue of Multiple Harmonic Series (1306.6164v2)
Published 26 Jun 2013 in math.NT and math.QA
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.