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On the Sum Formula for Multiple q-Zeta Values

David M. Bradley
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Abstract

Multiple q-zeta values are a 1-parameter generalization (in fact, a q-analog) of the multiple harmonic sums commonly referred to as multiple zeta values. These latter are obtained from the multiple q-zeta values in the limit as q tends to 1. Here, we discuss the sum formula for multiple q-zeta values, and provide a self-contained proof. As a consequence, we also derive a q-analog of Euler's evaluation of the double zeta function zeta(m,1).

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David M. Bradley. 2004-11-12. On the Sum Formula for Multiple q-Zeta Values. https://arxiv.org/abs/math/0411274

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