New functional equations of finite multiple polylogarithms

Masataka Ono

We give a finite analogue of the well-known formula ${\mathrm{Li}}_{\underset{n}{\underbrace{1,\dots ,1}}}(t)=\frac{1}{n!}{\mathrm{Li}}_1(t{)}^n$ of multiple polylogarithms for any positive inte…