New Hoffman-type generators for alternating multiple zeta values

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.