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arXiv · 1508.02144

Renormalisation of q-regularised multiple zeta values

Kurusch Ebrahimi-Fard·Dominique Manchon·Johannes Singer
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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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Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer. 2016-01-05. Renormalisation of q-regularised multiple zeta values. https://doi.org/10.1007/s11005-016-0818-x

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