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Renormalisation of q-Regularised Multiple Zeta Values
Authors:Kurusch Ebrahimi-Fard  Dominique Manchon  Johannes Singer
Abstract:We consider a particular one-parameter family of q-analogues of multiple zeta values. The intrinsic q-regularisation permits an extension of these q-multiple zeta values to negative integers. Renormalised multiple zeta values satisfying the quasi-shuffle product are obtained using an Hopf-algebraic Birkhoff factorisation together with minimal subtraction.
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