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Article Dans Une Revue Letters in Mathematical Physics Année : 2016

Renormalisation of q-Regularised Multiple Zeta Values

Résumé

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.

Dates et versions

hal-03043699 , version 1 (07-12-2020)

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Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer. Renormalisation of q-Regularised Multiple Zeta Values. Letters in Mathematical Physics, 2016, 106 (3), pp.365-380. ⟨10.1007/s11005-016-0818-x⟩. ⟨hal-03043699⟩
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