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arxiv: math/0402152 · v2 · submitted 2004-02-10 · 🧮 math.QA · math.NT

On relations for the q-multiple zeta values

classification 🧮 math.QA math.NT
keywords multiplevalueszetarelationrelationsanaloguesapplicationcyclic
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We prove some relations for the $q$-multiple zeta values ($q$MZV). They are $q$-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple zeta values (MZV). We discuss the problem to determine the dimension of the space spanned by $q$MZV's over $\Q$, and present an application to MZV.

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