Analytic continuation of Kochubei multiple polylogarithms and its applications

2025/05/06 by Chen, Yen-Tsung
#11G09 #11R58 #33E50 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2505.03224

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.

Citations

• Carlitz twists: their motivic cohomology, regulators, zeta values and polylogarithms
• On Furusho's analytic continuation of Drinfeld logarithms
• On the Integral Part of A-Motivic Cohomology
• Linear relations among double zeta values in positive characteristic
• 1-t-motifs

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