Work

Multiple zeta-star values for indices of infinite length

Year: 2024

Type: article

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.

Source: Journal of the Mathematical Society of Japan

DOI: 10.2969/jmsj/92569256

Authors: Minoru HIROSE, Hideki MURAHARA, Tomokazu ONOZUKA

Institutions: Kagoshima University, The University of Kitakyushu, Oita University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: Research on the iterated integrals on the projective line, Application of complex function relations to the study of analytic properties of multiple zeta functions, 多重ゼータの深化的研究～大野和について～, 新谷ゼータ関数・反復積分・GT理論の３つを軸とした周期の総合的研究