# Multiple zeta values and their q-analogues

@article{Vleeshouwers2020MultipleZV, title={Multiple zeta values and their q-analogues}, author={A. Vleeshouwers}, journal={arXiv: Number Theory}, year={2020} }

We explore the theory of multiple zeta values (MZVs) and some of their $q$-generalisations. Multiple zeta values are numerical quantities that satisfy several combinatorial relations over the rationals. These relations include two multiplicative relations, which arise naturally from comparison of the MZVs with an underlying algebraic structure. We generalise these concepts by introducing the parameter $q$ in such a way that as $q\to 1^-$ we return to the ordinary MZVs. Our special interest lies… Expand

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