Analytic continuation of Kochubei multiple polylogarithms and its applications
Number Theory
2026-05-19 v1
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.
Cite
@article{arxiv.2505.03224,
title = {Analytic continuation of Kochubei multiple polylogarithms and its applications},
author = {Yen-Tsung Chen},
journal= {arXiv preprint arXiv:2505.03224},
year = {2026}
}
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25 pages