Alternating doublet-values andT-values
Recently, Hoffman (Commun. Number Theory Phys. 13:529-567,2019), Kaneko and Tsumura (Tsukuba J. Math. (in press),2020) introduced and systematically studied two variants of multiple zeta values of level two, i.e., multiplet-values and multipleT-values, respectively. In this paper, by the contour int...
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| Veröffentlicht in: | Advances in difference equations 2020-08, Vol.2020 (1), Article 450 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Recently, Hoffman (Commun. Number Theory Phys. 13:529-567,2019), Kaneko and Tsumura (Tsukuba J. Math. (in press),2020) introduced and systematically studied two variants of multiple zeta values of level two, i.e., multiplet-values and multipleT-values, respectively. In this paper, by the contour integration and residue theorem, we establish two general identities, which further reduce to the expressions of the alternating doublet-values andT-values. Some examples are also provided. |
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| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-020-02917-1 |