Renormalisation of q-regularised multiple zeta values

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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Cited by in corpus (2)

• The Hopf algebra of (q)multiple polylogarithms with non-positive arguments
• Renormalisation of q-regularised multiple zeta values