We mainly answer two open questions about finite multiple harmonic q-series on 3-2-1 indices at roots of unity, posed recently by Bachmann, Takeyama, and Tasaka. Two conjectures regarding cyclic sums which generalize the given results are also provided.
Hessami Pilehrood, K., Hessami Pilehrood, T., Tauraso, R. (2022). On 3-2-1 values of finite multiple harmonic q-series at roots of unity. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 74(3), 753-758 [10.2969/jmsj/86238623].
On 3-2-1 values of finite multiple harmonic q-series at roots of unity
Tauraso, R
2022-01-01
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 Bachmann, Takeyama, and Tasaka. Two conjectures regarding cyclic sums which generalize the given results are also provided.File in questo prodotto:
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