Year: 2026
Type: preprint
Abstract: We introduce multiple $s$ values and prove that every alternating multiple zeta value is a $\mathbb{Q}$-linear combination of multiple $s$ values $s(k_1, \dots, k_r)$ with $k_i \in \{1, 2\}$. We also study when certain multiple $s$ values can be expressed as $\mathbb{Q}$-linear combinations of multiple zeta values.
Source: arXiv (Cornell University)
Author: Machida, Wataru
Institution: The University of Tokyo
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221066376