Multiple zeta-star values for indices of infinite length

Minoru Hirose; Hideki Murahara; Tomokazu Onozuka

doi:10.2969/jmsj/92569256

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Multiple zeta-star values for indices of infinite length

Minoru Hirose, Hideki Murahara, Tomokazu Onozuka

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Keywords: multiple zeta values, multiple zeta-star values, indices of infinite length

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2025 Volume 77 Issue 2 Pages 513-535

DOI https://doi.org/10.2969/jmsj/92569256

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Abstract

In this paper, we consider infinite length versions of multiple zeta-star values. We give several explicit formulas for the infinite length versions of multiple zeta-star values. We also discuss analytic properties of the map from indices to the infinite length versions of multiple zeta-star values.

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