Renormalisation of q-regularised multiple zeta values
Number Theory
2016-02-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1508.02144,
title = {Renormalisation of q-regularised multiple zeta values},
author = {Kurusch Ebrahimi-Fard and Dominique Manchon and Johannes Singer},
journal= {arXiv preprint arXiv:1508.02144},
year = {2016}
}
Comments
minor corrections