Some remarks on the order structures of multi-polylogarithms
arXiv:2406.10604
Abstract
We consider multi-polylogarithm functions which are slightly different from the ordinary ones. These functions have two integral representations and an order structure similar to those of multiple zeta star values. We also give a necessary and sufficient condition for the set of values of our multi-polylogarithm functions to be a dense set.
11 pages