q-Multiple Zeta Functions and q-Multiple Polylogarithms

Mathematics – Quantum Algebra

Scientific paper

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24 pages. We add a section on q-iterated integral shuffle relations of q-multiple zeta values. We also correct some typos

Scientific paper

10.1007/s11139-007-9025-9

We shall define the q-analogs of multiple zeta functions and multiple
polylogarithms in this paper and study their properties, based on the work of
Kaneko et al. and Schlesinger, respectively.

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