Multiple zeta-star values for indices of infinite length
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
TL;DR
This paper explores infinite-length multiple zeta-star values, providing explicit formulas and analyzing their analytic properties to deepen understanding of these complex mathematical objects.
Contribution
It introduces explicit formulas for infinite-length multiple zeta-star values and investigates their analytic properties, advancing the theoretical understanding of these values.
Findings
Derived explicit formulas for infinite-length multiple zeta-star values.
Analyzed the analytic properties of the mapping from indices to these values.
Enhanced theoretical framework for studying infinite multiple zeta-star values.
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 the analytic properties of the map from indices to the infinite-length versions of multiple zeta-star values.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Crystallization and Solubility Studies