Work

Analytic continuation of Kochubei multiple polylogarithms and its applications

Year: 2025

Type: article

Abstract: In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms by using the techniques developed in Furusho (Tunis J Math 4–3:559–58, 2022). 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.

Source: Research in the Mathematical Sciences

DOI: 10.1007/s40687-025-00560-4

Author: Yen-Tsung Chen

Institution: Pennsylvania State University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

Funders: University of Pennsylvania, Pennsylvania State University, National Tsing Hua University