Analytic continuation of Kochubei multiple polylogarithms and its applications

Yen-Tsung Chen

Published 2025-05-06Version 1

In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms using the techniques developed by Furusho. Moreover, we produce a family of linear relations and a linear independence result for values of our analytically continued Kochubei polylogarithms at algebraic elements from a cohomological aspect.