Multiple zeta-star values for indices of infinite length

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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Publication Details

Journal
Journal of the Mathematical Society of Japan
Published
2024-11-22
DOI
https://doi.org/10.2969/jmsj/92569256
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

Multiple zeta-star values for indices of infinite length

Tomokazu Onozuka, Minoru Hirose, Hideki Murahara
Journal of the Mathematical Society of Japan
Advanced Mathematical Identities
article

Multiple zeta-star values for indices of infinite length

Tomokazu Onozuka, Minoru Hirose, Hideki Murahara
article en

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.

Journal of the Mathematical Society of JapanVol. 77(2)
Kagoshima University (JP), The University of Kitakyushu (JP), Oita University (JP)
Openalex Percentile: Top 62%
Advanced Mathematical Identities
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