November, 2024 Multiple zeta-star values for indices of infinite length
Minoru HIROSE, Hideki MURAHARA, Tomokazu ONOZUKA
Author Affiliations +
J. Math. Soc. Japan Advance Publication 1-23 (November, 2024). DOI: 10.2969/jmsj/92569256

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.

Funding Statement

This work was supported by JSPS KAKENHI Grant Numbers JP18K13392, JP19K14511, JP22K03244, and JP22K13897.

Citation

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Minoru HIROSE. Hideki MURAHARA. Tomokazu ONOZUKA. "Multiple zeta-star values for indices of infinite length." J. Math. Soc. Japan Advance Publication 1 - 23, November, 2024. https://doi.org/10.2969/jmsj/92569256

Information

Received: 27 November 2023; Published: November, 2024
First available in Project Euclid: 22 November 2024

Digital Object Identifier: 10.2969/jmsj/92569256

Subjects:
Primary: 11M32

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

Rights: Copyright ©2024 Mathematical Society of Japan

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