On three general forms of multiple zeta(-star) values

In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height $\leq 2$ and the evaluation of $\zeta^\star(\{1\}^m,\{2\}^{n+1})$. We also give a new proof of sum formula of multiple zeta...

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Hauptverfasser: Chen, Kwang-Wu, Eie, Minking
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Sprache:eng
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Zusammenfassung:In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height $\leq 2$ and the evaluation of $\zeta^\star(\{1\}^m,\{2\}^{n+1})$. We also give a new proof of sum formula of multiple zeta values.
DOI:10.48550/arxiv.2202.03839