Quadratic relations for a q-analogue of multiple zeta values

Yoshihiro Takeyama

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arXiv · 1008.0686

Quadratic relations for a q-analogue of multiple zeta values

Yoshihiro Takeyama

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Abstract

We obtain a class of quadratic relations for a q-analogue of multiple zeta values (qMZV's). In the limit q->1, it turns into Kawashima's relation for multiple zeta values. As a corollary we find that qMZV's satisfy the linear relation contained in Kawashima's relation. In the proof we make use of a q-analogue of Newton series and Bradley's duality formula for finite multiple harmonic q-series.

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Yoshihiro Takeyama. 2010-08-04. Quadratic relations for a q-analogue of multiple zeta values. https://arxiv.org/abs/1008.0686

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