Analytic continuation of Kochubei multiple polylogarithms and its applications
arXiv:2505.03224 · doi:10.1007/s40687-025-00560-4
Abstract
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.
25 pages