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

2021/01/10 by Khodabakhsh Hessami Pilehrood, Pilehrood, Khodabakhsh Hessami, Tatiana Hessami Pilehrood +3
Mathematics · #Advanced Mathematical Identities #Combinatorics (math.CO) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2101.03576

openalex publication_date 2021/01/10 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

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

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