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arXiv · 2101.03576

On $3-2-1$ values of finite multiple harmonic $q$-series at roots of unity

Khodabakhsh Hessami Pilehrood·Tatiana Hessami Pilehrood·Roberto Tauraso
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Abstract

We mainly answer two open questions about finite multiple harmonic $q$-series on 3-2-1 indices at roots of unity, posed recently by H. Bachmann, Y. Takeyama, and K. Tasaka. Two conjectures regarding cyclic sums which generalize the given results are also provided.

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Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso. 2021-01-10. On $3-2-1$ values of finite multiple harmonic $q$-series at roots of unity. https://arxiv.org/abs/2101.03576

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